CPM Homework Help : CCA2 Problem B-97

If $f(x) = 3(2)^x$ , find the value of the expressions in parts (a) through (c) below. Then complete parts (d) through (f). .

Hint (a):

Substitute $-1$ for $x$ and simplify.

$f(−1) = 3(2)^-1$

$=3\cdot\frac{1}{2}$

Answer (a):

$\frac{3}{2}$

Hint (b):

Refer to part (a).

Hint (c):

Refer to part (a).

Hint (d):

Substitute $12$ for $f(x)$ and solve for $x$ .

Answer (d):

$x = 2$

Hint (e):

A function crosses the $x$ -axis at $y = 0$ , and a function crosses the $y$ -axis at $x = 0$ .

Hint (f):

$\text{Substitute }3(2)^{x}\text{ for }f(x)\text{ and }\frac{1}{3x}\text{ for }g(x).$

Use the eTool below to find the value of each expression.
Click the link at right for the full version of the eTool: CCA2 B-97 HW eTool