Practice Test

For the functions, $f\left(x\right)=6x+1$ and $g\left(x\right)=8x-3,$ find ⓐ $\left(f\circ g\right)\left(x\right),$ ⓑ $\left(g\circ f\right)\left(x\right),$ and ⓒ $\left(f·g\right)\left(x\right).$

Determine whether each graph is the graph of a function and if so, is it one-to-one.

ⓐ

ⓑ

Find the inverse of the function $f\left(x\right)=x^5-9.$

Solve the equation $2^{2x-4}=64.$

Megan invested $\text{\$}\mathrm{21,000}$ in a savings account. If the interest rate is $5\text{\%},$ how much will be in the account in 8 years by each method of compounding?
ⓐ compound quarterly
ⓑ compound monthly
ⓒ compound continuously.

Convert the equation from logarithmic equation to exponential form: $3={\text{log}}_{7}343$

Evaluate ${\text{log}}_{11}1.$

Graph the function
$y={\text{log}}_{3}x.$

What is the decibel level of a small fan with intensity ${10}^{\mathrm{-8}}$ watts per square inch?

${\text{log}}_{5}25ab$

${\text{log}}_2\sqrt[4]{\frac{5x^3}{16y^2{z}^7}}$

$\frac{1}{6}\text{log}x-3\text{log}\left(x+5\right)$

Solve for x:
${\text{log}}_7\left(x+2\right)+{\text{log}}_7(x-3)={\text{log}}_{7}24$

$5e^{x-4}=40$

Researchers recorded that a certain bacteria population grew from 500 to 700 in 5 hours. At this rate of growth, how many bacteria will there be in 20 hours?