Composition of Functions

If 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

If f(x) = 9 - 3x and
g(x) = 5x - 7,
find f(x) + g(x). 

• 14x-10
• -8x+2
• 2x+2
• 2x-2

Tags

CCSS.HSF-BF.A.1B

If f(x) = 4x+8 and
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

If 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

If g(x) = 6x + 4  and
f(x) = 2x - 7
Find f(x) * g(x)

• 8x - 3
• 4x + 11
• 12x² - 28
• 12x² - 34x - 28

Tags

CCSS.HSF-BF.A.1B

If f(x)=x+3 and 
g(x)=x-2
Find g(x)/f(x)

• (x+3)/(x-2), x cannot equal 2
• (x-2)/(x+3), x cannot equal -3
• -2/3
• 3/2

Tags

CCSS.HSF-BF.A.1B

If f(x)=x³-3x and
g(x)=-4x+1
Find f(x)*g(x)

• -4x³-5x²-3
• -4x³+2x²-3x
• -4x⁴+x³+12x²-3x
• -4x^4-x³+12x²⁺3x

Tags

CCSS.HSF-BF.A.1B

g(x)=x-1
f(x)=x² - 2x
Find (g - f)(x)

• -x²+3x-1
• -x³+x²+5x-4
• x²-3x+1
• x²+3x+1

If f(x) = x²+9 and
g(x) = x-9,
find f(x)/g(x). 

• x
• x² - x
• (x - 9)/(x² + 9)
• (x² + 9)/(x - 9)

Tags

CCSS.HSF-BF.A.1B

Given f(x) = x² + 5 and g(x) = 2x³ - 1, find (f/g)(-3).

• -14/55
• 14/55
• 2
• -2

Tags

CCSS.HSF-BF.A.1B