Operations with Functions and Composition of Functions

When f(x) = 9-3x and g(x) = 5x-7

Find f(x) + g(x).

• 14x-10

• -8x+2

• 2x+2

• 2x-2

Tags

CCSS.HSA.APR.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

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.HSA.APR.A.1

When $f\left(x\right)=\frac{x}{x+1}$  and $g\left(x\right)=x^2-1$  . 

Find f(x) - g(x).

•  $x^2-x$  

•  $\frac{-x^3-x^2+2x+1}{x+1}$  

•  $\frac{x^3+x^2-1}{x+1}$  

•  $\frac{x}{x^3+x^2-x-1}$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

When f(x) = 2x and g(x) = x²+3

Find f(g(x)).

• x²+2x+3

• 4x²+3

• 2x²+3

• 2x²+6

Tags

CCSS.HSA.APR.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

When f(x) = 4x+8 and g(x) = x+3
Find $f\left(x\right)\cdot g\left(x\right)$  

• 4x²+24

• 4x²+20x+24

• 4x²+12x+24

• 4x²+4x+24

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

When $f\left(x\right)=3x^2+4x-5$ and  $g\left(x\right)=2x+9$ . Find f(x) / g(x)

•  $\frac{3x^2-4x-5}{2x+9}$  

•  $\frac{3x^2+4x-5}{2x+9}$  

•  $\frac{2x+9}{3x^2+4x-9}$  

•  $\frac{2x+9}{3x^2+4x+9}$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

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.IF.A.1

CCSS.HSF.IF.A.2

When $f\left(x\right)=\frac{x}{x+1}$  and $g\left(x\right)=x^2-1$  . 

Find f(x) * g(x).

•  $x^2-x$  

•  $\frac{-x^3-x^2+2x+1}{x+1}$  

•  $\frac{x^3+x^2-1}{x+1}$  

•  $\frac{x}{x^3+x^2-x-1}$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

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.HSA.APR.A.1

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.HSA.APR.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2