M4 Functions Operations and Composite Functions Review

Find f(3) + g(2) if f(x)= x+2 and g(x)=5x-1

Find f(3) + g(2) if f(x)= x+2 and g(x)=5x-1

Simplify
(x²-49)/(x²+9x+14)

• (x-7)/(x+2)
• (x+7)/(x+2)
• (x-7)/(x-2)
• (x+7)/(x+2)

Which of the following is written in function notation?

• y = 2x²-4x+14

• h(x) = 3x - 1

• g(x) + 7 - 3x

• f(x) / g(x)

Simplify

• (x-9)/(x+9)
• 1/(x-9)
• (x+9)
• 1/(x+9)

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

• 19
• 23
• -10
• None of these.

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

• x² + 8x + 1
• x² + 6x - 1
• 5x² + 8x - 1
• x² + 8x -1

g(x)=3x+4

h(x)=3x-1

Find (g∘h)(x)

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