Function Operations and Composition of Functions

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.HSF-BF.A.1B

• A
• B
• C
• D

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

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.HSF-BF.A.1B

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

• 39
• -27
• -23
• -19

Tags

CCSS.HSF-BF.A.1B

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

• 19
• 23
• -10
• None of these.

Tags

CCSS.HSF-BF.A.1C

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

• -42
• -26
• -18
• None of these.

Tags

CCSS.HSF-BF.A.1C

Find f(2).

• -2

• -18

• 24

• 6

Tags

CCSS.L.1.6

CCSS.L.3.6

CCSS.L.K.5A

Find g(5)

• 3375

• 375

• 25

• 45

Tags

CCSS.L.1.6

CCSS.L.3.6

CCSS.L.K.5A

-2f(x)

• 18

• -4x² -10x

• 26

• -4x² +10x