Composite Function Practice 0 -4

Which expression represents g(f(x)) if 
f(x) = 2x - 8 and
g(x) = 4x

• 8x - 32
• 8x² - 32x
• 8x - 8
• 6x - 8

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

• g(f(x))= -3x²-6
• g(f(x))= -3x²+2
• g(f(x))=9x²+2
• g(f(x))= -9x²+2

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

• 19
• 23
• -10
• None of these.

• 9 - √17
• 4
• 2
• √8

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

• g(f(x))= -6x² + 31
• g(f(x))= -6x² + 24
• g(f(x))=18x² - 84x + 90
• g(f(x))=9x² - 42x - 41

Given 𝑓(𝑥) = 2𝑥 − 5 and 𝑔(𝑥) = 3𝑥 + 4, solve for (𝑔 ○ 𝑓)(𝑥).

• 11 − 6𝑥

• 6𝑥²− 7𝑥 − 20

• 6𝑥 − 11

• 6𝑥² − 23𝑥 − 20

Which of the following set of ordered pairs in NOT a function?

• (1,2),(2,3),(3,4),(4,5)

• (1,2),(1,3),(3,6),(4,8)

• (1, 1), (2, 2), (3, 3), (4, 4)

• (3, 2), (4, 2), (5, 2), (6, 2)

• -12

• -196

• -98

• 0

• -12

• -196

• -98

• 0

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

• 16
• 4
• -4
• None of these.