Inverse Functions

Find the inverse of f(x) = -4x - 12

• f^-1(x) = 4x - 3
• f^-1(x) = -1/4x - 3
• f^-1(x) = 1/4x + 3
• f^-1(x) = -4x - 3

Are the following inverses of each other? Use composition of functions. f(g(x)) and g(f(x))

• True

• False

Find the inverse of the function
f(x) = 3x − 5

• f^-1(x)=3x +5
• f^-1(x)=(x+5)/3
• f^-1(x)=3y-5
• f^-1(x)=3y+5

What does it mean to find the inverse of a function?

• the x's and y's are switched
• the x's and y's are divided by 2
• the x's and y's are made negative
• the x's and y's are the same

f(x) = 3x + 10

g(x) = ⅓x - 3

Find g(f(x))

• f(g(x)) = 1

• f(g(x)) = x

• f(g(x)) = 0

• None of these.

Use composition to verify whether those functions are inverses.

• Inverse Functions

• Not Inverse Functions

Use composition to verify whether those functions are inverses.

• Inverse Functions

• Not Inverse Functions

What operation allows us to verify if functions are inverses?

• Multiplying

• Dividing

• Adding

• Composing

Given that f(x) = 3x + 5 and g(x) = 1/3x + 5, find f(g(x)).  Are the two functions inverses of each other?

• f(g(x))=x + 20 ; Yes they are inverses

• f(g(x))=x + 20 ; No, they are not inverses

• f(g(x))=x ; Yes they are inverses

• f(g(x))=x ; No, they are not inverses

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)