Questions from General Calculus

Q: Simplify (100)3/2 and (.001)1

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

Q: Determine the domains of the following functions. f (x

Determine the domains of the following functions. f (x) = √(x2 + 1)

Q: Determine the domains of the following functions. f (x

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

Q: Draw the following intervals on the number line. [

Draw the following intervals on the number line. [1, 3/2]

Q: Relate to the function whose graph is sketched in Fig. 12

Relate to the function whose graph is sketched in Fig. 12. For what values of x does f (x) = 0?

Q: Is the point (1/2, - 3/5

Is the point (1/2, - 3/5) on the graph of the function h(x) = (x2 - 1)/(x2 + 1)?

Q: Is the point (1, -2) on the graph

Is the point (1, -2) on the graph of the function k(x) = x2 + (2/x)?

Q: Factor the polynomials. 5x3 + 15x2 - 20x

Factor the polynomials. 5x3 + 15x2 - 20x

Q: Factor the polynomials. 3x2 - 3x - 60

Factor the polynomials. 3x2 - 3x - 60

Q: Let f (x) = x6, g(x)

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