College Algebra Semester Review

Given

 $f\left(x\right)=x^2+x$   and  $g\left(x\right)=3x+1$ 
find the value of  $g\left(f\left(-2\right)\right)$  

• -14

• 20

• 6

• 7

Tags

CCSS.HSF-BF.A.1C

Find the inverse of $f\left(x\right)=\frac{6}{x-2}+3$  

•  $f^{-1}\left(x\right)=\frac{6}{x-3}+2$  

•  $f^{-1}\left(x\right)=\frac{x-2}{6}+3$  

•  $f^{-1}\left(x\right)=\frac{x-3}{6}+2$  

•  $f^{-1}\left(x\right)=\frac{6x-2}{3}$  

Tags

CCSS.HSF-BF.B.4A

This graph is called

• hyperbola

• parabola

• inverse square

• square root

Tags

CCSS.HSF-IF.C.7B

This graph is called

• hyperbola

• parabola

• inverse square

• square root

Tags

CCSS.HSF-IF.C.7A

This graph is called

• hyperbola

• parabola

• inverse square

• square root

Tags

CCSS.HSF-IF.C.7B

What is the domain of this function?

• $\left(-\infty,4\right)U\left(4,\infty\right)$

• $\left(-1,\infty\right)$

• All reals

• $\left(-\infty,-1\right)U\left(-1,\infty\right)$

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Solve for x:       $\log_{16}\frac{1}{8}=x$  

•  $-\frac{3}{4}$  

•  $\frac{4}{3}$  

•  $-\frac{4}{3}$  

•  $-2$  

Tags

CCSS.HSF.BF.B.5

Solve for x:

 $\log_4\left(5x+3\right)=2$ 

•  $\frac{13}{5}$  

•  $\frac{19}{5}$  

•  $1$  

•  $-\frac{1}{5}$  

Tags

CCSS.HSF.BF.B.5

 $5^x=29$  

Solve for x to the nearest thousandth:

(a)  

Tags

CCSS.HSF.LE.A.4

Write as a single logarithm:

 $\log_460-\log_44+\log_4x$  

•  $\log_415$  

•  $\log_415x$  

•  $\log_456x$  

•  $\log_4\left(56+x\right)$