Operations and Composition of Functions

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

• 14x-10
• -8x+2
• 2x+2
• 2x-2

Tags

CCSS.HSA.APR.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.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

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

• A
• B
• C
• D

Tags

CCSS.HSA.SSE.A.1

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

• x²+2x+3
• 4x²+3
• 2x²+3
• 2x²+6

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

f(x) = 3x² - 2x + 1 and g(x) = x - 4. What restrictions, if any, are there for f(x)/g(x)?

• no restrictions
• x ≠ -4
• x ≠ 4
• x ≠ 0

Tags

CCSS.HSA.APR.D.7

When f(x) = 2x and g(x) = x²+3 , find f(g(x)).

• x²+2x+3
• 4x²+3
• 2x²+3
• 2x²+6

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

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(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.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Given g(x) = -2x+2 and f(x) = 3x²+4, find (g+f)(-3).

• 39
• -27
• -23
• -19

Tags

CCSS.HSA.APR.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

f(x) = 3x + 10
g(x) = x - 2
Find f(g(5))

• 19
• 23
• -10
• None of these.

Tags

CCSS.HSF-BF.A.1C