Operations With And Compositions Of Functions

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-BF.A.1C

When g(x)=3x+4 and h(x)=3x-1

Find g(h(x))

• -9x+11

• 4x²+4x

• 9x+1

• 9x+11

Tags

CCSS.HSF-BF.A.1C

When 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.HSF-BF.A.1B

When f(x)=x²+1 and g(x)=2x-5

Find f(g(x))

• 4x²-20x+26

• -x²+2x+4

• -x²-2x-6

• x²-2x-4

Tags

CCSS.HSF-BF.A.1C

When f(x) = x²+9 and g(x) = x-9

Find f(x) - g(x).

• x²+x+9

• x²-x+9

• x²-x

• x²-x+18

Tags

CCSS.HSF-BF.A.1B

Tags

CCSS.HSF-BF.A.1B

• 4x²+24

• 4x²+20x+24

• 4x²+12x+24

• 4x²+4x+24

Tags

CCSS.HSF-BF.A.1B

When f(x) = 3x² + 7x and g(x) = 2x² - x - 1 Find f(x) - g(x)

• 11x² - 1

• 5x⁴ + 6x² - 1

• 5x² + 6x - 1

• x² + 8x +1

Tags

CCSS.HSF-BF.A.1B

f(x) = 9-3x
g(x) = 5x-7
Find f(x)+g(x). 

• 14x-10

• -8x+2

• 2x+2

• 2x-2

Tags

CCSS.HSF-BF.A.1B

p(x) = 3x + 4
q(x) = 2x²
Find p(p(-3))

• -9

• 7

• -11

• None of these

Tags

CCSS.HSF-BF.A.1C