Composition of Functions

If f(x) = 3x-1 and g(x) = x²+2,

what is (f ° g)(x) ?

• 3x² +5

• x² +1

• 3x² +1

• 3x² +6

If f(x) = 5x and g(x) = 2x-1,

what is the composition f(g(x)) ?

• 10x-1

• 10x-5

• 5x²-1

• 5x²-5

• 9

• -6

• 6

• -2

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

• 7

• 97

• 13

• 6

Given f and g in the graph,

what is f(g(2)) ?

• 3

• 8

• 1

• 4

Given f and g in the graph,

what is f(f(3)) ?

• 3

• 2

• 4

• 1

Given f and g in the graph,

what is (f ° g)(-1) ?

• 1

• 4

• -1

• 6

(f + g) (x)

• 5x² + 3x

• 4x² + 3x

• 5x² - 3x

• 4x² - 40x

(f - g)(x)

• 5x² + 3x

• -3x² - 13x

• 3x² + 3x

• -3x² + 3x

• 9 - √17
• 4
• 2
• √8