Function Compositions and Combinations

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

Given f(x) = 3x² - 2x + 1 and g(x) = x - 4, find (f⋅g)(x).

• 3x³ - 10x² - 7x - 4

• 3x³ - 14x² + 9x - 4

• 3x² - x - 3

• 3x³ + 14x² - 9x - 4

f(x) = 3x + 10
g(x) = x - 2
Find f(g(5))

• 19
• 23
• -10
• None of these.

f(x) = 3x + 10
g(x) = x - 2
Find f(g(0))

• 16
• 4
• -4
• None of these.

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

• x²+2x+3

• 4x²+3

• 2x²+3

• 2x²+6

Evaluate the function for the given inputs.
For f(x) = -2x + 4,
find f(x) when x = -5

• f(-5) = -6
• f(-5) = -3
• f(-5) = 14
• f(-5) = 2

f(x)=x²-2x+1
Evaluate the function for f(-1).

• f(-1)=4
• f(-1)=0
• f(-1)=2
• f(-1)=-1

• 9 - 8/3
• 9 + 8/3
• 3
• 1/3

Find f[g(5)]

• 30

• 242

• 92

• 2

If f(x) = 3x-1 and g(x) = x²+2,

what is (f ° g)(x) ?

• 3x² +5

• x² +1

• 3x² +1

• 3x² +6