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

When finding the inverse of a relation, 1st you replace f(x) with y 2nd switch the x's and y's What do you do next?

find the greatest common factor

Given that f(x) = 3x + 5 and g(x) = 1/3x + 5, find f(g(x)). Are the two functions inverses of each other?

x + 20 ; No, they are not inverses

FInd the inverse of the function. f ( x ) = 3 x − 15 2 f\left(x\right)=\frac{3x-15}{2} f ( x ) = 2 3 x − 1 5

f − 1 ( x ) = 15 + 2 x 3 f^{-1}\left(x\right)=\frac{15+2x}{3} f − 1 ( x ) = 3 1 5 + 2 x

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

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

f − 1 ( x ) = 2 3 x − 19 3 f^{-1}\left(x\right)=\frac{2}{3}x-\frac{19}{3} f − 1 ( x ) = 3 2 x − 3 1 9

h ( x ) = − 2 x − 1 − 3 h\left(x\right)=-\frac{2}{x-1}-3 h ( x ) = − x − 1 2 − 3 Find the inverse of the function.

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

h − 1 ( x ) = − 2 x + 2 − 1 h^{-1}\left(x\right)=-\frac{2}{x+2}-1 h − 1 ( x ) = − x + 2 2 − 1

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

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

What is the first step in finding the equation of the inverse of a function?

write the function in inverse function notation

Operations on functions review

Authored by Emily Cherry

Mathematics

9th - 12th Grade

CCSS covered

Used 19+ times

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36 questions

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MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Given f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find (f + g)(x).

11x² - 1

5x⁴ + 6x² - 1

5x² + 6x - 1

5x² + 8x - 1

Tags

CCSS.HSF-BF.A.1B

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

f(x) = 4x+8
g(x) = x+3,
Find f(x) * g(x)

4x²+24

4x²+20x+24

4x²+12x+24

4x²+4x+24

Tags

CCSS.HSF-BF.A.1B

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

f(x) = x²+9
g(x) = x-9
Find f(x)-g(x).

x²+x+9

x²-x+9

x²-x

x²-x+18

Tags

CCSS.HSF-BF.A.1B

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

When f(x) = 2x and g(x) = x²+3 , find f(g(x)).

x²+2x+3

4x²+3

2x²+3

2x²+6

Tags

CCSS.HSF-BF.A.1C

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

g(x)=3x+4
h(x)=3x-1
Find g(h(x))

-9x+11

4x²+4x

9x+1

9x+11

Tags

CCSS.HSF-BF.A.1C

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

h(x)=x²-3x-10,
j(x)=3x-2
What is (h/j)(-2)

-2

undefined

Tags

CCSS.HSF-BF.A.1B

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

if f(x) = 3x + 2 and g(x) = 11 - 5x,
find (f + g)(x)

-2x + 13

-2x + 9

8x + 13

8x + 9

Tags

CCSS.HSF-BF.A.1B

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

if j(x) = (2x + 3) and k(x) = (3x + 2)
find $\left(j\cdot k\right)\left(x\right)$

$5x+5$

$6x^2+6$

$6x^2+6x+6$

$6x^2+13x+6$

Tags

CCSS.HSF-BF.A.1B

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Operations on functions review

Given f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find (f + g)(x).

f(x) = 4x+8
g(x) = x+3,
Find f(x) * g(x)

f(x) = x²+9
g(x) = x-9
Find f(x)-g(x).

When f(x) = 2x and g(x) = x²+3 , find f(g(x)).

g(x)=3x+4
h(x)=3x-1
Find g(h(x))

h(x)=x²-3x-10,
j(x)=3x-2
What is (h/j)(-2)

if f(x) = 3x + 2 and g(x) = 11 - 5x,
find (f + g)(x)

If g(x) = x² - 4x - 7 and h(x) = 5x² - 8,
find (g - h)(x)

if j(x) = (2x + 3) and k(x) = (3x + 2)
find $\left(j\cdot k\right)\left(x\right)$

If f(x) = 2x + 1 and g(x) = 3x² - 8,
find f(g(x))

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Operations on functions review

Given f(x) = 3x2 + 7x and g(x) = 2x2 - x - 1, find (f + g)(x).

f(x) = 4x+8 g(x) = x+3, Find f(x) * g(x)

f(x) = x2+9 g(x) = x-9Find f(x)-g(x).

When f(x) = 2x and g(x) = x2+3 , find f(g(x)).

g(x)=3x+4h(x)=3x-1Find g(h(x))

h(x)=x2-3x-10, j(x)=3x-2What is (h/j)(-2)

if f(x) = 3x + 2 and g(x) = 11 - 5x, find (f + g)(x)

If g(x) = x2 - 4x - 7 and h(x) = 5x2 - 8, find (g - h)(x)

if j(x) = (2x + 3) and k(x) = (3x + 2)find (j⋅k)(x)\left(j\cdot k\right)\left(x\right)(j⋅k)(x)

If f(x) = 2x + 1 and g(x) = 3x2 - 8,find f(g(x))

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Given f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find (f + g)(x).

f(x) = 4x+8
g(x) = x+3,
Find f(x) * g(x)

f(x) = x²+9
g(x) = x-9
Find f(x)-g(x).

When f(x) = 2x and g(x) = x²+3 , find f(g(x)).

g(x)=3x+4
h(x)=3x-1
Find g(h(x))

h(x)=x²-3x-10,
j(x)=3x-2
What is (h/j)(-2)

if f(x) = 3x + 2 and g(x) = 11 - 5x,
find (f + g)(x)

If g(x) = x² - 4x - 7 and h(x) = 5x² - 8,
find (g - h)(x)

if j(x) = (2x + 3) and k(x) = (3x + 2)
find $\left(j\cdot k\right)\left(x\right)$

If f(x) = 2x + 1 and g(x) = 3x² - 8,
find f(g(x))