Function Operations, Composites and Inverses

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

• g(f(x))= -3x²-6

• g(f(x))= -3x²+2

• g(f(x))=9x²+2

• g(f(x))= -9x²+2

Tags

CCSS.HSF-BF.A.1C

Find the inverse of
f(x) = 1/4x - 7

• f^-1(x) = 4x + 7
• f^-1(x) = -4x + 28
• f^-1(x) = -4x - 7
• f^-1(x) = 4x + 28

Tags

CCSS.HSF-BF.B.4A

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

• 19
• 23
• -10
• None of these.

Tags

CCSS.HSF-BF.A.1C

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of g(f(-2)).

• -14
• 20
• 6
• 7

Tags

CCSS.HSF-BF.A.1C

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

• (1, 4) and (4, 6)
• (-4, -1) and (-6, -4)
• (-1, -4) and (-4, -6)
• (4, 1) and (6, 4)

Tags

CCSS.HSF-BF.B.4C

Are these the graphs of two inverse functions?

• Yes
• No
• No way to tell

If f^-1(-25) = 7 then what is f(7) = 

• 25
• 7
• No enough information. 
• -25

Tags

CCSS.HSF-BF.B.4C

Are these inverse functions?

• no
• yes
• no way to tell

Tags

CCSS.HSF-BF.B.4B

If the domain of f(x) is x ≥ 4, then the ____ of ____ is  y ≥ 4

• domain, f^-1(x)
• range, f(x)
• range, f^-1(x)
• domain, f(x)

The inverse has been reflected over which line?

• y = x
• y =1
• y = 0
• y = x + 1

Tags

CCSS.HSF-BF.B.4C