Composite Functions

Given f(x) = 3x + 10
and 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.

What is f(g(3))?

• 1/8

• 8

• 1/4

• 1/2

• 9 - √17
• 4
• 2
• √8

(L3) Given f(x)= x² + 25 and g(x)= x - 5, find     (f+g)(x). 

• x² + x - 20
• x² + x + 20
• -x² + x - 20
• x² - x - 20

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

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

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

Given
 f(x) = 2x² + 5x - 17,
find f(-1). 

• f(-1) = -20
• f(-1) = -24

 Given f(x)= x² + 25 and g(x)= x - 5, find     (f+g)(x). 

• x² + x - 20
• x² + x + 20
• -x² + x - 20
• x² - x - 20