Algebra II/Trig: Composite and Inverse Functions

• 9
• -9
• -15
• -13

Tags

CCSS.HSF-BF.A.1C

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

• f(g(x))= -3x²-6
• f(g(x))= -3x²+2
• f(g(x))=9x²+2
• f(g(x))= -9x²+2

Tags

CCSS.HSF-BF.A.1C

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

• -1

• 1

• 5

• -5

Tags

CCSS.HSF.IF.A.2

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

• -19
• -21
• 17
• -1

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

f(x) = x² + 3
g(x) = 4x - 3
Find (fg)(-1)

• 4
• -52
• -4
• 52

Tags

CCSS.HSF-BF.A.1B

(L3) Given f(x)= x² + 25 and g(x)= x - 5, find     (f+g)(x). 

• x² + x - 20
• x² + x + 20
• -x² + x - 20
• x² - x - 20

Tags

CCSS.HSF-BF.A.1B

Find the inverse of
f(x) = -3x + 3

• f^-1(x) = -3x + 1
• f^-1(x) = -1/3x + 1
• f^-1(x) = -1/3x - 1
• f^-1(x) = 1/3x + 1

Tags

CCSS.HSF-BF.B.4A

What is the inverse of the function f(x)=x+2

• f⁻¹(x) = x-2
• f⁻¹(x) = x+2
• f⁻¹(x) = -x+2
• f⁻¹(x) = -x-2

Tags

CCSS.HSF-BF.B.4A