Operations on Functions and Composition of Functions

Given the functions f(x) = - 3x² - 2 and g(x) = 3x, find f(x) - g(x).

• 3x²-3x+2
• -2
• -3x²-3x-2
• -6x-2

Tags

CCSS.HSF-BF.A.1B

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

• -2
• -3x²+3x-2
• -3x²-3x+2
• 6x-2

Tags

CCSS.HSF-BF.A.1B

g(n)=4n-4

f(n)=5n+4

Find (g+f)(n)

• 20n

• 9n+8

• 9n-8

• 9n

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) = 2x+1 and g(x) = 4x-5 
Find f(8) - g(8) 

• -20
• 10
• -10
• 20

Tags

CCSS.HSF.IF.A.2

f(x) = 2x and g(x) = 2x-7 
Find (f+g)(2).

• -7
• 1
• -1
• 8

Tags

CCSS.HSF-BF.A.1B

f(x) = 2x and g(x) = 2x-7

Find (f-g)(4).

• 0

• -9

• 7

• -8

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

g(n) = n² + 5n

f(n) = n + 4

Find g(f(n))

• n² + 3n + 36

• n² + 13n + 16

• n² + 13n + 36

• n² + 3n + 20

Tags

CCSS.HSF-BF.A.1C

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