Inverses and Exponential Math 3

Given the function  $g\left(x\right)=\frac{2x-5}{3}$  , what is  $g^{-1}\left(x\right).$  ?

•  $g^{-1}\left(x\right)=\frac{3x+5}{2}$  

•  $g^{-1}\left(x\right)=\frac{3x-5}{2}$  

•  $g^{-1}\left(x\right)=\frac{5x-3}{2}$  

•  $g^{-1}\left(x\right)=\frac{2x+5}{3}$  

Given the function $g\left(x\right)=\ 3x+5$ what is the inverse?

•  $g^{-1}\left(x\right)\ =\ \frac{x+5}{3}$  

•  $g^{-1}\left(x\right)=\frac{x-5}{3}$  

•  $g^{-1}\left(x\right)=\frac{x-3}{5}$  

•  $g^{-1}\left(x\right)=\frac{x+3}{5}$  

The function W(n)= 32-0.05n represents the volume of water Andrei uses (in liters) if he uses. W(n) represents the volume and n represents the number of liters

What is the inverse and what is the meaning of the inverse equations

• $w^{-1}\left(n\right)=-20n+640$ such that $w^{-1}\left(n\right)$ is the volume of the water and n is the number of liters

• $w^{-1}\left(n\right)=-20n+640$ such that $w^{-1}\left(n\right)$ is the number of liters and n represents the volume of water

• $w^{-1}\left(n\right)=-n+640$ such that $w^{-1}\left(n\right)$ is the number of liters and n represents the volume of water

• $w^{-1}\left(n\right)\ =-\ n+640\$ such that $w^{-1}\left(n\right)$ is the volume of water and n is the number of liters

Tags

CCSS.HSF.BF.B.4

If g(x) and f(x) are inverses, what are the points of f(x) if g(x) = {(1,2), (3,5), (-2,8)}.

• f(x) = {(1,2), (3,5), (-2,8)}

• f(x) = {(2,1), (3,5), (8,-2)}

• f(x) = {(2,1), (5,3), (8,-2)}

• f(x)= {(1,2) , (3,5), (-2,8)}

Which of the following graphs shows to functions that are  Linear Inverse  functions?

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True or False. The following graph shows two functions that are not inverses.

• True

• False

Determine the inverse of  $f\left(x\right)\ =\ x^2-8$  with a restricted domain of  $x\ge0$  

•  $f^{-1}\left(x\right)=\ \sqrt{x+8}$  

•  $f^{-1}\left(x\right)=-\sqrt{x+8}$  

•  $f^{-1}\left(x\right)=\sqrt{x-8}$  

•  $f^{-1}\left(x\right)=-\sqrt{x-8}$  

Determine the inverse of  $f\left(x\right)\ =\ x^2-8$  with a restricted domain of  $x\le0$  

•  $f^{-1}\left(x\right)=\ \sqrt{x+8}$  

•  $f^{-1}\left(x\right)=-\sqrt{x+8}$  

•  $f^{-1}\left(x\right)=\sqrt{x-8}$  

•  $f^{-1}\left(x\right)=-\sqrt{x-8}$  

What is the inverse of the quadratic $q\left(x\right)=x^{2\ }+8x\ +10$ such that the domain is restricted  $x\le-4$  ?

•  $q^{-1}\left(x\right)=-\sqrt{x-6}+4$  

•  $q^{-1}\left(x\right)=\sqrt{x-6}+4$  

•  $q^{-1}\left(x\right)=\ \sqrt{x+6}-4$  

•  $q^{-1}\left(x\right)=-\sqrt{x+6}-4$  

What is the inverse of the quadratic  $t\left(x\right)=3x^2-12x\ +4$  such that the domain is restricted  $x\ge2$  ?

•  $t^{-1}\left(x\right)=-\sqrt{\frac{x-8}{3}}+2$  

•  $t^{-1}\left(x\right)=\sqrt{\frac{x-8}{3}}+2$  

•  $t^{-1}\left(x\right)=-\sqrt{\frac{x+8}{3}}+2$  

•  $t^{-1}\left(x\right)=\sqrt{\frac{x+8}{3}}+2$  

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.BF.B.4