Functions - Operation and Composite

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

• 19
• 23
• -10
• None of these.

Tags

CCSS.HSF-BF.A.1C

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

• 16
• 4
• -4
• None of these.

Tags

CCSS.HSF-BF.A.1C

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

• 8x - 32

• 8x² - 32x

• 8x - 8

• 6x - 8

If f(x) = x² and g(x) = 3x - 1, find f(g(x))

• 9x² - 6x + 1

• 3x - 1

• 3x² - 1

• 9x² - 1

Tags

CCSS.HSF-BF.A.1C

Which one is the same as $\left(f\circ g\right)\left(-7\right)?$  

• (f)(-7)(g)(-7)

• (fg(-7))

• f(g(-7))

• g(f(-7))

f(n)=2n+1
g(n)=3n
Find f(n)+g(n)

• 5n+1
• -5n+1
• -2n+1
• -6n-1

Tags

CCSS.HSF-BF.A.1B

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

Tags

CCSS.HSF-BF.A.1C

g(x)=3x+4
h(x)=3x-1
Find (g∘h)(x)

• -9x+11
• 4x²+4x
• 9x+1
• 9x+11

Tags

CCSS.HSF-BF.A.1C

 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

Tags

CCSS.HSF-BF.A.1B

g(x) = 2x - 5
h(x) = 4x + 5
Find (g - h)(3)

• 18
• 16
• -16
• 28

Tags

CCSS.HSF-BF.A.1B