Combination & Composition of Functions

f(x) + g(x)

• 5x² + 3x

• 4x² + 3x

• 5x² - 3x

• 4x² - 40x

f(x) - g(x)

• 5x² + 3x

• -3x² - 13x

• 3x² + 3x

• -3x² + 3x

f(g(x))

• 3x - 6

• 3x - 2

• 3x - 26

• 4x - 2

Tags

CCSS.HSF-BF.A.1C

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

• 3x² - 2
• 3x + 8
• 3x + 4
• None of these.

Tags

CCSS.HSF-BF.A.1C

Given

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

• 11x² - 1

• 5x⁴ + 6x² - 1

• 5x² + 6x - 1

• 5x² + 8x - 1

When f(x) = 4x+8 and
g(x) = x+3, find
f(x)  $\cdot$  g(x)

• 4x²+24

• 4x²+20x+24

• 4x²+12x+24

• 4x²+4x+24

Given

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

• 11x² - 1

• 5x⁴ + 6x² - 1

• 5x² + 6x - 1

• 5x² + 8x - 1

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

• -9x+11
• 4x²+4x
• 9x+1
• 9x+11

Tags

CCSS.HSF-BF.A.1C

If f(x)=x+3 and 
g(x)=x-2
Find $\frac{g\left(x\right)}{f\left(x\right)}$ . 

• (x+3)/(x-2), x cannot equal 2

• (x-2)/(x+3), x cannot equal -3

• -2/3

• 3/2