Function Operations and Composite Functions

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

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

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.HSF-BF.A.1B

When f(x) = x² - 9

and g(x) = x + 3 ,

find f(x) / g(x).

• x - 3

• x + 3

• x - 12

• x - 6

Tags

CCSS.HSF-BF.A.1B

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.HSF-BF.A.1B

f(n)=x² + 1

g(n)=2x - 5

Find f(n) - g(n)

• x² - 2x + 6

• -x² + 2x + 4

• -x² - 2x - 6

• x² - 2x - 4

Tags

CCSS.HSF-BF.A.1B

f(x)=2x + 4

g(x)=3x² - 1

Find f(x) ⋅ g(x)

• 6x⁴ + 12x³ - 4x² - 8x

• -6x³ + 12x² + 2x - 4

• 6x³ + 12x² - 2x - 4

• 5x² - 18x + 20

Tags

CCSS.HSF-BF.A.1B

f(x)= x+3

g(x)= x-2

Find (g(x) / f(x))

Be careful!!

• (x + 3)/(x - 2)

• (x - 2)/(x + 3)

• -2/3

• 3/2

Tags

CCSS.HSF-BF.A.1B

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

Given f(x)= -3x+7 and g(x)=2x² - 8, find f(g(x)).

• f(g(x))= -6x²+31
• f(g(x))= -6x²+24
• f(g(x))=18x²-84x+6
• f(g(x))=9x²-42x-1

Tags

CCSS.HSF-BF.A.1C