Which of the following is NOT TRUE about inverse functions?

The domain of a function always becomes the domain of its inverse.

Inverse functions are reflections of each other over the line y = x.

You find the inverse by switching x and y in the equation.

The domain of a function always becomes the range of its inverse.

What does it mean to find the inverse of a function?

the x's and y's are divided by 2

the x's and y's are made negative

f ( x ) = 7 x f\left(x\right)=7x f ( x ) = 7 x Find f − 1 ( x ) f^{-1}\left(x\right) f − 1 ( x )

x ÷ 1 7 x\div\frac{1}{7} x ÷ 7 1

f ( x ) = x − 2 6 f\left(x\right)=\frac{x-2}{6} f ( x ) = 6 x − 2 Find f − 1 ( x ) f^{-1}\left(x\right) f − 1 ( x )

x − 6 2 \frac{x-6}{2} 2 x − 6

6 ( x + 2 ) 6\left(x+2\right) 6 ( x + 2 )

f ( x ) = 8 x − 3 5 f\left(x\right)=\frac{8x-3}{5} f ( x ) = 5 8 x − 3 Find f − 1 ( x ) f^{-1}\left(x\right) f − 1 ( x )

5 x + 3 8 \frac{5x+3}{8} 8 5 x + 3

5 ( 8 x + 3 ) 5\left(8x+3\right) 5 ( 8 x + 3 )

5 x 8 + 3 \frac{5x}{8}+3 8 5 x + 3

5 ( x + 3 ) 8 \frac{5\left(x+3\right)}{8} 8 5 ( x + 3 )

f ( x ) = 6 x 5 + 3 f\left(x\right)=\frac{6x}{5}+3 f ( x ) = 5 6 x + 3 Find f − 1 ( x ) f^{-1}\left(x\right) f − 1 ( x )

5 ( x − 3 ) 6 \frac{5\left(x-3\right)}{6} 6 5 ( x − 3 )

5 x − 3 6 \frac{5x-3}{6} 6 5 x − 3

5 x 6 − 3 \frac{5x}{6}-3 6 5 x − 3

5 x 6 + 3 \frac{5x}{6}+3 6 5 x + 3

f ( x ) = 3 x + 10 7 f\left(x\right)=\frac{3x+10}{7} f ( x ) = 7 3 x + 1 0 Find f − 1 ( x ) f^{-1}\left(x\right) f − 1 ( x )

7 x − 10 3 \frac{7x-10}{3} 3 7 x − 1 0

7 x − 10 3 7x-\frac{10}{3} 7 x − 3 1 0

7 x 3 − 10 \frac{7x}{3}-10 3 7 x − 1 0

7 ( x − 10 ) 3 \frac{7\left(x-10\right)}{3} 3 7 ( x − 1 0 )

Which one(s) below are true?

x = − 2 x=-2 x = − 2 and x = 3 x=3 x = 3 are x-intercepts of the function.

y = − 4 y=-4 y = − 4 is the y-intercept of the function.

f ( 0 ) = − 4 f\left(0\right)=-4 f ( 0 ) = − 4

The x-values which satisfy the equation f(x)=0 are { − 2 , 3 } \left\{-2,3\right\} { − 2 , 3 }

Domain of the function f is [ − 2 , 3 ] \left[-2,3\right] [ − 2 , 3 ]

Functions WH

Authored by Tuğba Aydoğdu

Mathematics

10th Grade

CCSS covered

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What are the x-intercepts?

0 and 2

-4 and 0

2 and 3

0 and 4

Tags

CCSS.HSF-IF.C.7A

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the y-intercept?

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSS.ID.C.7

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

If $f\left(x\right)=2x$ and $g\left(x\right)=2x^2-1$ find $f\left(g\left(3\right)\right)$

142

Tags

CCSS.HSF-BF.A.1C

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

If $f\left(x\right)=\frac{1}{x}$ and $g\left(x\right)=3x+2$ find $\left(f\circ g\right)\left(2\right)$

$\frac{1}{4}$

$\frac{1}{8}$

$\frac{7}{2}$

Tags

CCSS.HSF-BF.A.1C

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

If $f\left(x\right)=x^2$ and $g\left(x\right)=\frac{1}{x^2}$ find $\left(f\circ g\right)\left(-1\right)$

$\frac{1}{4}$

$1$

$-1$

$-\frac{1}{4}$

Tags

CCSS.HSF-BF.A.1C

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

If f(x) = 3x-1 and g(x) = x²+2,
what is (f ° g)(x) ?

3x² +5

x² +1

3x² +1

3x² +6

Tags

CCSS.HSF-BF.A.1C

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The inverse of the function f(x) is written as ...

f ^-1(x)

f ²(x)

f '(x)

f ⁺(x)

Tags

CCSS.HSF-BF.B.4A

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Functions WH

What are the x-intercepts?

What is the y-intercept?

If $f\left(x\right)=2x$ and $g\left(x\right)=2x^2-1$ find $f\left(g\left(3\right)\right)$

If $f\left(x\right)=\frac{1}{x}$ and $g\left(x\right)=3x+2$ find $\left(f\circ g\right)\left(2\right)$

If $f\left(x\right)=x^2$ and $g\left(x\right)=\frac{1}{x^2}$ find $\left(f\circ g\right)\left(-1\right)$

If f(x) = 3x-1 and g(x) = x²+2,
what is (f ° g)(x) ?

The inverse of the function f(x) is written as ...

The inverse has been reflected over which line?

Which of the following is NOT TRUE about inverse functions?

What are the missing values if g(x)=f^-1(x)?

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Functions WH

What are the x-intercepts?

What is the y-intercept?

If f(x)=2xf\left(x\right)=2xf(x)=2x and g(x)=2x2−1g\left(x\right)=2x^2-1g(x)=2x2−1 find f(g(3))f\left(g\left(3\right)\right)f(g(3))

If f(x)=1xf\left(x\right)=\frac{1}{x}f(x)=x1​ and g(x)=3x+2g\left(x\right)=3x+2g(x)=3x+2 find (f∘g)(2)\left(f\circ g\right)\left(2\right)(f∘g)(2)

If f(x)=x2f\left(x\right)=x^2f(x)=x2 and g(x)=1x2g\left(x\right)=\frac{1}{x^2}g(x)=x21​ find (f∘g)(−1)\left(f\circ g\right)\left(-1\right)(f∘g)(−1)

If f(x) = 3x-1 and g(x) = x2+2, what is (f ° g)(x) ?

The inverse of the function f(x) is written as ...

The inverse has been reflected over which line?

Which of the following is NOT TRUE about inverse functions?

What are the missing values if g(x)=f-1(x)?

Access all questions and much more by creating a free account

Similar Resources on Wayground

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Discover more resources for Mathematics

If $f\left(x\right)=2x$ and $g\left(x\right)=2x^2-1$ find $f\left(g\left(3\right)\right)$

If $f\left(x\right)=\frac{1}{x}$ and $g\left(x\right)=3x+2$ find $\left(f\circ g\right)\left(2\right)$

If $f\left(x\right)=x^2$ and $g\left(x\right)=\frac{1}{x^2}$ find $\left(f\circ g\right)\left(-1\right)$

If f(x) = 3x-1 and g(x) = x²+2,
what is (f ° g)(x) ?

What are the missing values if g(x)=f^-1(x)?