Functions Composite Functions Inverse Functions Transformations

Find the inverse of the function.

Describe the transformation that occurred.

h(x) = f(x) + 2

• up 2 units

• left 2 units

• Vertical Strech

• right 2 units

What are the transformations?

y = (x - 2)³ + 4

• Horz shift right 2 Vert shift up 4

• Horz shift left 2 Vert shift up 4

• Horz shift right 2 Vert shift down 4

• Horz shift left 2 Vert shift up 4

Describe the transformation from dotted to solid.

• f(x + 4)

• f(x - 4)

• f(x) + 4

• f(x) - 4

The function f(x) is graphed. On your paper graph y = -f(x) + 1

• Done

• Not Done

f(x) = 3x + 10
g(x) = x - 2
Find (f∘g)(0)

• 16

• 4

• -4

• None of these.

Q1. What is the value of x in the equation x^2 = 17?

• 9 - √17

• 4

• 2

• √8

Given f(x)= -3x+7 and g(x)=2x² - 8, find f(g(x)).

• f(g(x))= -6x²+31

• f(g(x))= -6x²+24

• f(g(x))=18x²-84x+6

• f(g(x))=9x²-42x-1

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

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of f(g(4)).

• 182

• 40

• 61

• None of the Above