Function Composition Numbers

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

• -9x+11

• 4x²+4x

• 9x+1

• 9x+11

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of f(g(4)).

• 182

• 40

• 61

• None of the Above

f(g(x))

• 3x - 16

• 3x - 2

• 3x - 26

• 4x - 2

f(x) = 3x + 10
g(x) = x - 2
Find g(f(x))

• 3x + 8

• 3x - 2

• 3x + 4

• None of these.

What is f(g(-3))?

Mathematical Equivalence

OFF

What is g(f(4))?

Mathematical Equivalence

OFF

f(g(3)) =

Mathematical Equivalence

ON

If f(x) = 3x-1 and g(x) = x²+2,

what is (f ° g)(x) ?

• 3x² +5

• x² +1

• 3x² +1

• 3x² +6

Match the functions below with their compositions.

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• 
• 
• 
• 

Given f(x)= -3x+7 and g(x)=2x² - 8, find f(g(x)).

• f(g(x))= -6x²+31

• f(g(x))= -6x²+24

• f(g(x))=18x²-84x+6

• f(g(x))=9x²-42x-1