Operations on functions review

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

• 11x² - 1
• 5x⁴ + 6x² - 1
• 5x² + 6x - 1
• 5x² + 8x - 1

Tags

CCSS.HSA.APR.A.1

f(x) = 4x+8
g(x) = x+3,
Find f(x) * g(x)

• 4x²+24
• 4x²+20x+24
• 4x²+12x+24
• 4x²+4x+24

Tags

CCSS.HSA.APR.A.1

f(x) = x²+9
g(x) = x-9
Find f(x)-g(x). 

• x²+x+9
• x²-x+9
• x²-x
• x²-x+18

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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

• x²+2x+3
• 4x²+3
• 2x²+3
• 2x²+6

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

g(x)=3x+4
h(x)=3x-1
Find g(h(x))

• -9x+11

• 4x²+4x

• 9x+1

• 9x+11

h(x)=x²-3x-10,
j(x)=3x-2
What is (h/j)(-2)

• -2
• undefined
• 0
• 1

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.7

if f(x) = 3x + 2 and g(x) = 11 - 5x,

find (f + g)(x)

• -2x + 13

• -2x + 9

• 8x + 13

• 8x + 9

If g(x) = x² - 4x - 7 and h(x) = 5x² - 8,

find (g - h)(x)

• 6x² - 4x - 15

• -4x² - 4x - 15

• -4x² - 4x + 1

• -5x² - 4x + 1

if j(x) = (2x + 3) and k(x) = (3x + 2)
find  $\left(j\cdot k\right)\left(x\right)$  

•  $5x+5$  

•  $6x^2+6$  

•  $6x^2+6x+6$  

•  $6x^2+13x+6$  

If f(x) = 2x + 1 and g(x) = 3x² - 8,

find f(g(x))

• 12x² + 12x - 5

• 6x² - 15

• 6x² - 7

• 3x² + 2x - 7