Function Operations Review

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

• 14x-10
• -8x+2
• 2x+2
• 2x-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

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

• 8
• -8
• 28
• None of these.

Tags

CCSS.HSF-BF.A.1C

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)

• (x+3)/(x-2)
• (x-2)/(x+3)
• -2/3
• 3/2

f(x) = 3x + 10
g(x) = x - 2
Find f(g(x))

• 3x² - 2
• 3x + 8
• 3x + 4
• None of these.

Tags

CCSS.HSF-BF.A.1C

When f(x) = x² -9 
and g(x) = x+3 ,
find f(x) / g(x). 

• x-3
• x+3
• x-12
• x-6

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

g(x) = -3x+7
h(x) = -x-10
Find g(x)/h(x) and the domain restriction.

• -3x+7/-x-10; domain: x≠7/3
• -3x+7/-x-10; domain: x≠-7/3
• -3x+7/-x-10; domain: x≠10
• -3x+7/-x-10; domain: x≠-10

f(x)=x+3
g(x)=x-2
Find (g/f)(x) and the domain restriction.

• (x+3)/(x-2); domain: x≠2
• (x-2)/(x+3); domain: x≠-3
• -2/3; domain: ℝ
• 3/2; domain: ℝ