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INVERSE and Composition of Functions

Authored by Raul Erazo

Mathematics

10th - 12th Grade

CCSS covered

Used 54+ times

INVERSE and Composition of Functions
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12 questions

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1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Write the inverse of

 f(x)=3x−5f\left(x\right)=3x-5  

 f−1(x)=x3+5f^{-1}\left(x\right)=\frac{x}{3}+5  

 f−1(x)=x+53f^{-1}\left(x\right)=\frac{x+5}{3}  

 f−1(x)=x+35f^{-1}\left(x\right)=\frac{x+3}{5}  

 f−1(x)=x+53f^{-1}\left(x\right)=x+\frac{5}{3}  

Tags

CCSS.HSF-BF.B.4A

2.

MULTIPLE SELECT QUESTION

3 mins • 1 pt

Write the inverse of

 f(x)=x3+5f\left(x\right)=x^3+5  

 f−1(x)=5−x3f^{-1}\left(x\right)=5-x^3  

 f−1(x)=x−5f^{-1}\left(x\right)=\sqrt{x-5}  

 f−1(x)=3x−5f^{-1}\left(x\right)=^3\sqrt{x-5}  

 f−1(x)=3x−5f^{-1}\left(x\right)=^3\sqrt{x}-5  

Tags

CCSS.HSF-BF.B.4A

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find the inverse of

 f(x)=x−5+4f\left(x\right)=\sqrt{x-5}+4  

 f−1(x)=x2−8x−21f^{-1}\left(x\right)=x^2-8x-21  

 f−1(x)=x2+8x+21f^{-1}\left(x\right)=x^2+8x+21  

 f−1(x)=x2−8x+11f^{-1}\left(x\right)=x^2-8x+11  

 f−1(x)=x2−8x+21f^{-1}\left(x\right)=x^2-8x+21  

Tags

CCSS.HSF-BF.B.4A

4.

MULTIPLE SELECT QUESTION

3 mins • 1 pt

Find the inverse of

 g(x)=6−x+7g\left(x\right)=6-\sqrt{x+7}  

 g−1(x)=x2−12x+29g^{-1}\left(x\right)=x^2-12x+29  

 g−1(x)=x2+12x+29g^{-1}\left(x\right)=x^2+12x+29  

 g−1(x)=x2−12x+43g^{-1}\left(x\right)=x^2-12x+43  

 g−1(x)=x2+12x+43g^{-1}\left(x\right)=x^2+12x+43  

Tags

CCSS.HSF-BF.B.4A

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the inverse of

 g(x)=x−2x+3g\left(x\right)=\frac{x-2}{x+3}  

 g−1(x)=3x−21−xg^{-1}\left(x\right)=\frac{3x-2}{1-x}  

 g−1(x)=3x+21−xg^{-1}\left(x\right)=\frac{3x+2}{1-x}  

 g−1(x)=3x+21+xg^{-1}\left(x\right)=\frac{3x+2}{1+x}  

 g−1(x)=3x−21+xg^{-1}\left(x\right)=\frac{3x-2}{1+x}  

Tags

CCSS.HSF-BF.B.4A

6.

MULTIPLE SELECT QUESTION

5 mins • 1 pt

Write the inverse of

 p(x)=3x+8+3 p\left(x\right)=^3\sqrt{x+8}+3\ ^{ }    (this is cube root)

 p−1(x)=x3−9x2+27x−35p^{-1}\left(x\right)=x^3-9x^2+27x-35  

 p−1(x)=x3+9x2+27x−35p^{-1}\left(x\right)=x^3+9x^2+27x-35  

 p−1(x)=x3−9x2+27x+35p^{-1}\left(x\right)=x^3-9x^2+27x+35  

 p−1(x)=x3+9x2−27x+35p^{-1}\left(x\right)=x^3+9x^2-27x+35  

Tags

CCSS.HSF-BF.B.4A

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find  (F o G)(x)  if   F(x)=3x   ,   G(x)=2x−7F\left(x\right)=3x\ \ \ ,\ \ \ G\left(x\right)=2x-7  

(FoG)(x)=3x-21

(FoG)(x)=2x-21

(FoG)(x)=6x-7

(FoG)(x)=6x-21

none of these answers

Tags

CCSS.HSF-BF.A.1C

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