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

1 3 x + 2 \frac{1}{3x}+2 3 x 1 + 2

1 3 x + 2 \frac{1}{3x+2} 3 x + 2 1

I f f ( x ) = 2 x − 5 , g ( x ) = 7 − 3 x , f i n d g ( g ( x ) ) . If\ f\left(x\right)\ =\ 2x-5,\ g\left(x\right)\ =\ 7-3x,\ find\ g\left(g\left(x\right)\right). I f f ( x ) = 2 x − 5 , g ( x ) = 7 − 3 x , f i n d g ( g ( x ) ) .

− 14 + 9 x -14+9x − 1 4 + 9 x

Composition of Functions

Authored by English Casbarro

Other, Mathematics

9th - 12th Grade

CCSS covered

Used 107+ times

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MULTIPLE CHOICE QUESTION

3 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

3 mins • 1 pt

If f(x) = 5x and g(x) = 2x-1,
what is the composition f(g(x)) ?

10x-1

10x-5

5x²-1

5x²-5

Tags

CCSS.HSF-BF.A.1C

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

-6

-2

Tags

CCSS.HSF-BF.A.1B

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

For f(x) = 2x²-1, what is and (f ° f)(-2) ?

Tags

CCSS.HSF-BF.A.1C

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Given f and g in the graph,
what is f(g(2)) ?

Tags

CCSS.HSF-BF.A.1C

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Given f and g in the graph,
what is f(f(3)) ?

Tags

CCSS.HSF-BF.A.1C

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Given f and g in the graph,
what is (f ° g)(-1) ?

-1

Tags

CCSS.HSF-BF.A.1C

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Composition of Functions

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

If f(x) = 5x and g(x) = 2x-1,
what is the composition f(g(x)) ?

For f(x) = 2x²-1, what is and (f ° f)(-2) ?

Given f and g in the graph,
what is f(g(2)) ?

Given f and g in the graph,
what is f(f(3)) ?

Given f and g in the graph,
what is (f ° g)(-1) ?

(f + g) (x)

(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 Other

Composition of Functions

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

If f(x) = 5x and g(x) = 2x-1,what is the composition f(g(x)) ?

For f(x) = 2x2-1, what is and (f ° f)(-2) ?

Given f and g in the graph, what is f(g(2)) ?

Given f and g in the graph,what is f(f(3)) ?

Given f and g in the graph,what is (f ° g)(-1) ?

(f + g) (x)

(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 Other

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

If f(x) = 5x and g(x) = 2x-1,
what is the composition f(g(x)) ?

For f(x) = 2x²-1, what is and (f ° f)(-2) ?

Given f and g in the graph,
what is f(g(2)) ?

Given f and g in the graph,
what is f(f(3)) ?

Given f and g in the graph,
what is (f ° g)(-1) ?