Composition of Functions

Given 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

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.HSF-BF.A.1B

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

(f - g)(x)

• 5x² + 3x

• -3x² - 13x

• 3x² + 3x

• -3x² + 3x

Tags

CCSS.HSF-BF.A.1B

(f + g) (x)

• 5x² + 3x

• 4x² + 3x

• 5x² - 3x

• 4x² - 40x

Tags

CCSS.HSF-BF.A.1B

f(n)= n² + 4n

g(n)= - n - 5

Find f(n) + g(n)

• n² + 3n - 5

• -n³ + 2n - 7

• n³ + 3n - 3n

• n² - 3n - 5

If f(x) = 5x and g(x) = 2x-1,

what is the composition f(g(x)) ?

• 10x-1

• 10x-5

• 5x²-1

• 5x²-5

Tags

CCSS.HSF-BF.A.1C

When f(x) = 4x+8 and

g(x) = x+3, find

f(g(x))

• 4x + 11

• 4x + 20

• 4x²+12x+24

• 5x + 11

Tags

CCSS.HSF-BF.A.1C

If  $f\left(x\right)=x^2-1$  and  $g\left(x\right)=x+5$  what is  $f\left(g\left(x\right)\right)$  ?

•  $x^2+4$  

•  $x^2+10x+25$  

•  $x^2+10x+24$  

•  $x^2+24$  

Tags

CCSS.HSF-BF.A.1C

Tags

CCSS.HSF-BF.A.1B