Questions from General Calculus

Q: Let f (x) = 3√x and g(

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

Q: Let f (x) = 3√x and g(

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

Q: Let f (x) = 3√x and g(

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

Q: Let f (x) = x / x - 2,

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)

Q: Let f (x) = 3√x and g(

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

Q: Let f (x) = 3√x and g(

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

Q: Decide which curves are graphs of functions. /

Decide which curves are graphs of functions.

Q: The expressions in Exercises 83–88 may be factored as shown

The expressions in Exercises 83–88 may be factored as shown. Find the missing factors. √x – 1/√x = 1/√x ( )

Q: The expressions in Exercises 83–88 may be factored as shown

The expressions in Exercises 83–88 may be factored as shown. Find the missing factors. 2x2/3 - x-1/3 = x-1/3 ( )

Q: The expressions in Exercises 83–88 may be factored as shown

The expressions in Exercises 83–88 may be factored as shown. Find the missing factors. x-1/4 + 6x1/4 = x-1/4( )