Adding Subtracting and Multiplying Functions

• 20x² + 3x − 2

• 20x² − 11x + 5

• 20x² − 18x + 2

• 20x² − 3x − 2

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

• x²+2x+3

• 4x²+3

• 2x²+3

• 2x²+6

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

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

• 16

• 4

• -4

• None of these.

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

• 19

• 23

• -10

• None of these.

• 6x² - 1
• 6x - 3
• 5x - 1
• 6x² - 3x

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

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of g(f(-2)).

• -14

• 20

• 6

• 7

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

• -42

• -26

• -18

• None of these.

The domains of (f+g)(x), (f−g)(x) and (f⋅g)(x) are all the same.

• True

• False