Inverses: Introduction & Finding Equations

If the function f(x) passes through the point (-2, 12), then the inverse function, f^-1(x), must pass through the point --

• (12, 2)

• (-12, 2)

• (12, -2)

• (2, -12)

• (2, 12)

Tags

CCSS.HSF-BF.B.4C

Which of the following appear to show inverse functions? Choose all that apply.

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Tags

CCSS.HSF-BF.B.4C

Identify TWO expressions that will verify that f(x) = x + 10 and g(x) = x - 10 are inverse of each other. Choose TWO.

•  $f\left(x\right)\cdot g\left(x\right)=x$  

•  $f\left(g\left(x\right)\right)=x$  

•  $f\left(x\right)+g\left(x\right)=x$  

•  $\left(g\ \circ\ f\right)\left(x\right)=x$  

•  $g\left(x\right)\cdot f\left(x\right)=x$  

Tags

CCSS.HSF-BF.B.4B

What is the inverse of the following function?

 $g\left(x\right)=x^3+11$ 

•  $g^{-1}\left(x\right)=\ \ ^3\sqrt{x-11}$  

•  $g^{-1}\left(x\right)=\ \ ^3\sqrt{x+11}$  

•  $g^{-1}\left(x\right)=\ x-\ ^3\sqrt{11}$  

•  $g^{-1}\left(x\right)=\ \ x+\ ^3\sqrt{11}$  

Tags

CCSS.HSF-BF.B.4A

The graph of the function, f(x), is shown on the coordinate plane. Which graph best represents the inverse of f(x)?

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Tags

CCSS.HSF-BF.B.4C

Look at the function, f(x), graphed on the coordinate plane. Which table contains the values for the inverse function f^-1(x)?

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Tags

CCSS.HSF-BF.B.4C

What is the inverse of the following function:

 $f\left(x\right)=2x-2$  

•  $f^{-1}\left(x\right)=2x+2$  

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

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

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

Tags

CCSS.HSF-BF.B.4A

Which of the following functions are inverse of each other?

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

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

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

• $f\left(x\right)=5x+1$ and $g\left(x\right)=\frac{1}{5}x+\frac{1}{5}$

Tags

CCSS.HSF-BF.B.4B

Given the following functions, what is the value of g(f(x))?

 $f\left(x\right)=4x^4-15$  
 $g\left(x\right)=2x+11$  

•  $8x^5+44x^4-30x-165$  

•  $8x^5-165$  

•  $8x^4-4$  

•  $8x^4-19$  

Tags

CCSS.HSF-BF.A.1C

Given the following functions, which statement is true?

 $f\left(x\right)=\frac{4x-3}{2}$  
 $g\left(x\right)=\frac{2x+3}{4}$  

•  $f\left(g\left(x\right)\right)=0$  

•  $f\left(g\left(x\right)\right)=-1$  

•  $f\left(g\left(x\right)\right)=1$  

•  $f\left(g\left(x\right)\right)=x$  

Tags

CCSS.HSF-BF.A.1C