91Ó°ÊÓ

Solve:$2{\log }_{3}x={\log }_{3}36$

In the following exercises, find

a.$f∘g\left(x\right)$

b.$g∘f\left(x\right)$

c.$(f.g)x$

$$\begin{gathered} f\left(x\right)=4x+3 \\ g\left(x\right)=2x+5 \end{gathered}$$

For functions $f\left(x\right)=5x^2-1$and

$g\left(x\right)=4x-1$find

a.$f∘g\left(1\right)$

b.$g∘f(-1)$

c.$f∘f\left(2\right)$

In the following exercises, solve each equation.

$4^x=32$

In the following exercises, solve each equation.

$4^{x+2}=64$

For functions $f\left(x\right)=3x-2$and

$g\left(x\right)=5x+1$, find

1. $(f∘g)\left(x\right)$
   
2. $(g∘f)\left(x\right)$
   
3. $(f·g)\left(x\right)$
   

Find the inverse of {(−1, 4), (−2, 1), (−3, 0), (−4, 2)}. Determine the domain and range of the inverse function.

Graph, on the same coordinate system, the inverse of the one-to one function.

Graph, on the same coordinate system, the inverse of the one-to one function.

Verify that the functions are inverse functions.$f\left(x\right)=4x−3\mathrm{and}g\left(x\right)=\frac{x+3}{4}.$