Question: Refer to the function f (r), which

> Use the laws of exponents to simplify the algebraic expressions. Your answer should not involve parentheses or negative exponents. (x1/3)6

> Use the laws of exponents to simplify the algebraic expressions. Your answer should not involve parentheses or negative exponents. (-27x5)2/3 / x3/2

> Use the laws of exponents to simplify the algebraic expressions. Your answer should not involve parentheses or negative exponents. (xy)6

> Use the laws of exponents to compute the numbers. (61/2)0

> Use the laws of exponents to compute the numbers. 74/3 / 71/3

> Use the laws of exponents to compute the numbers. (125 * 27)1/3

> Let f (x) = 3√x and g(x) = 1 / x2. Calculate the following functions. Take x > 0. g(g(x))

> Use the laws of exponents to compute the numbers. (8/27)2/3

> Let f (x) = x/(x2 - 1), g(x) = (1 - x)/(1 + x), and h(x) = 2/(3x + 1). Express the following as rational functions. f (x) - g(x + 1)

> Use the laws of exponents to compute the numbers. 200.5 * 50.5

> Solve the equations in Exercises 39–44. x + 2 / x – 6 = 3

> Use the laws of exponents to compute the numbers. (21/3 * 32/3)3

> In Exercises 7–12, express f (x) + g(x) as a rational function. Carry out all multiplications. f (x) = 3 / x – 6, g(x) = -2 / x - 2

> Use the laws of exponents to compute the numbers. 35/2 / 31/2

> Use the laws of exponents to compute the numbers. 104 / 54

> Describe the domain of the function. g(x) =4 / x(x + 2)

> Use the laws of exponents to compute the numbers. (94/5)5/8

> Use the laws of exponents to compute the numbers. 61/3 * 62/3

> Refer to the function f (r), which gives the cost (in cents) of constructing a 100-cubic-inch cylinder of radius r inches. The graph of f (r) is shown in Fig. 16. What is the cost of constructing a cylinder of radius 6 inches? x(8x2/3) = x/3.8x2/3

> Let f (x) = 3√x and g(x) = 1 / x2. Calculate the following functions. Take x > 0. f (f (x))

> Use the laws of exponents to simplify the algebraic expressions. Your answer should not involve parentheses or negative exponents. x2 / x5y

> Use the laws of exponents to compute the numbers. (31>3 * 31>6)6

> Use the laws of exponents to compute the numbers. 51/3 * 2001/3

> Compute the numbers. 1-1.2

> Refer to the function f (r), which gives the cost (in cents) of constructing a 100-cubic-inch cylinder of radius r inches. The graph of f (r) is shown in Fig. 16. How much is saved by increasing the radius from 1 inch to 3 inches? =X.X = x.x = x =-

> Solve the equations in Exercises 39–44. 21/x - x = 4

> Compute the numbers. (.01)-1.5

> Compute the numbers. (1/8)-2/3

> In Exercises 7–12, express f (x) + g(x) as a rational function. Carry out all multiplications. f (x) = 2 / x - 3, g(x) = 1 / x + 2

> Let f (x) = x/(x2 - 1), g(x) = (1 - x)/(1 + x), and h(x) = 2/(3x + 1). Express the following as rational functions. f (x) - g(x)

> Compute the numbers. 4-1/2

> Compute the numbers. (81)0.75

> Compute the numbers. 160.5

> Let f (x) = x / x - 2, g(x) = 5 – x / 5 + x, and h(x) = x + 1 / 3x - 1. Express the following as rational functions. f (x) - g(x)

> Describe the domain of the function. g(x) = 1 / √(3 – x)

> Compute the numbers. 91.5

> Refer to the function f (r), which gives the cost (in cents) of constructing a 100-cubic-inch cylinder of radius r inches. The graph of f (r) is shown in Fig. 16. What is the additional cost of increasing the radius from 3 inches to 6 inches? g (x)

> Compute the numbers. (1.8)0

> Compute the numbers. (27)2/3

> Find the points of intersection of the pairs of curves in Exercises 31–38. y = 30x3 - 3 x2, y = 16x3 + 25x2

> Let f (x) = x2 - 2x, g(x) = 3x - 1, and h(x) = √x. Find the following functions. g(x)h(x)

> Compute the numbers. (25)3/2

> Compute the numbers. 163/4

> Compute the numbers. 84/3

> Graph the following equations. y = -2x + 3

> Compute the numbers. (-5)-1

> Let f (x) = 3√x and g(x) = 1 / x2. Calculate the following functions. Take x > 0. g (f (x))

> Compute the numbers: (.01)-1

> Use the laws of exponents to simplify the algebraic expressions. Your answer should not involve parentheses or negative exponents. √x (1/4x)5/2

> Compute the numbers. (½)-1

> Let f (x) = x2 - 2x, g(x) = 3x - 1, and h(x) = √x. Find the following functions. f (x)/h(x)

> Let f (x) = x2 - 2x, g(x) = 3x - 1, and h(x) = √x. Find the following functions. f (x) + g(x)

> Find an equation of the given line. Horizontal through (√7, 2)  

> Find an equation of the given line. Slope is -2; x-intercept is -2

> Exercises 43–46 relate to Fig. 13. When a drug is injected into a person’s muscle tissue, the concentration y of the drug in the blood is a function of the time elapsed since the injection. The graph of a typical time&

> Find an equation of the given line. Slope is 2; x-intercept is -3

> Let f (x) = x6, g(x) = x / 1 - x, and h(x) = x3 - 5x2 + 1. Calculate the following functions. f (h(x))

> Evaluate each of the functions in Exercises 37–42 at the given value of x. f (x) = |x|, x = -2/3

> Find an equation of the given line. x-intercept is -π; y-intercept is 1

> Find an equation of the given line. x-intercept is 1; y-intercept is -3

> Find an equation of the given line. Horizontal through (2, 9)

> Find an equation of the given line. (- 1/2, - 1/7) and (2/3, 1) on line

> Find an equation of the given line. (0, 0) and (1, 0) on line

> Find an equation of the given line. (1/2, 1) and (1, 4) on line

> Find an equation of the given line. (5/7, 5) and (- 5/7 , -4) on line

> Find an equation of the given line. Slope is 7/3; (1/4, - 2/5) on line

> Find an equation of the given line. Slope is 1/2 ; (2, 1) on line

> Exercises 43–46 relate to Fig. 13. When a drug is injected into a person’s muscle tissue, the concentration y of the drug in the blood is a function of the time elapsed since the injection. The graph of a typical time&

> Let f (x) = x6, g(x) = x / 1 - x, and h(x) = x3 - 5x2 + 1. Calculate the following functions. g (h(t))

> Find an equation of the given line. Slope is 2; (1, -2) on line

> Find an equation of the given line. Slope is -1; (7, 1) on line

> Find the slopes and y-intercepts of the following lines. 4x + 9y = -1

> Find the slopes and y-intercepts of the following lines. y = x/7 - 5

> Find the slopes and y-intercepts of the following lines. y = 6

> Determine the domains of the following functions. f (x) = 1 / x(x + 3)

> Let f (x) = [1/(x + 1)] - x2. Evaluate f (a + 1).

> Let f (x) = x2 - 2. Evaluate f (a - 2).

> Let f (x) = 2x + 3x2. Evaluate f (0), f (- 1/4), and f (1/√2).

> Let f (x) = x3 +1 /x. Evaluate f (1), f (3), f (-1), f (- 12), and f (√2).

> Let f (x) = x6, g(x) = x / 1 - x, and h(x) = x3 - 5x2 + 1. Calculate the following functions. g (f (x))

> Exercises 43–46 relate to Fig. 13. When a drug is injected into a person’s muscle tissue, the concentration y of the drug in the blood is a function of the time elapsed since the injection. The graph of a typical time&

> Suppose that $7000 is deposited in a savings account that pays a rate of interest r per annum, compounded annually, for 20 years. (a) Express the account balance A(r) as a function of r. (b) Calculate the account balance for r = .07 and r = .12.

> Suppose that $15,000 is deposited in a savings account that pays a rate of interest r per annum, compounded annually, for 10 years. (a) Express the account balance A(r) as a function of r. (b) Calculate the account balance for r = 0.04 and r = 0.06

> Suppose that $7000 is deposited in a savings account that pays 9% per annum, compounded biannually, for t years. (a) Express the account balance A(t) as a function of t, the number of years that the principal has been in the account. (b) Calculate the ac

> Suppose that $15,000 is deposited in a savings account that pays 4% per annum, compounded monthly, for t years. (a) Express the account balance A(t) as a function of t, the number of years that the principal has been in the account. (b) Calculate the acc

> Use the laws of exponents to simplify the algebraic expressions. 3√x (8x2/3)

> Use the laws of exponents to simplify the algebraic expressions. x3/2/ √x

> Use the laws of exponents to simplify the algebraic expressions. xy3 / x-5y6

> Use the laws of exponents to simplify the algebraic expressions. (√(x + 1))4

> The revenue R(x) (in thousands of dollars) that a company receives from the sale of x thousand units is given by R(x) = 5x - x2. The sales level x is in turn a function f (d) of the number d of dollars spent on advertising, where Express the revenue as

> Let f (x) = x6, g(x) = x / 1 - x, and h(x) = x3 - 5x2 + 1. Calculate the following functions. h(g(x))

> The population of a city is estimated to be 750 + 25t + .1t2 thousand people t years from the present. Ecologists estimate that the average level of carbon monoxide in the air above the city will be 1 + .4x ppm (parts per million) when the population is

> Exercises 43–46 relate to Fig. 13. When a drug is injected into a person’s muscle tissue, the concentration y of the drug in the blood is a function of the time elapsed since the injection. The graph of a typical time&

> Simplify (100)3/2 and (.001)1/3.

> Simplify (81)3/4, 85/3, and (.25)-1.

> Let f (x) = x2 - 2x + 4, g(x) = 1/x2, and h(x) = 1/(√x - 1). Determine the following functions. h(f (x))

> Let f (x) = x2 - 2x + 4, g(x) = 1/x2, and h(x) = 1/(√x - 1). Determine the following functions. f (h(x))

> Let f (x) = x2 - 2x + 4, g(x) = 1/x2, and h(x) = 1/(√x - 1). Determine the following functions. h(g(x))

> Let f (x) = x2 - 2x + 4, g(x) = 1/x2, and h(x) = 1/(√x - 1). Determine the following functions. g(h(x))

> Let f (x) = x2 - 2x + 4, g(x) = 1/x2, and h(x) = 1/(√x - 1). Determine the following functions. g(f (x))