Inverse Functions Day 1

Front

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

Back

The x's and y's are switched.

Front

What is the inverse of the points (1,3)(2,4)(6,8)?

Back

(3,1)(4,2)(8,6)

Front

The inverse has been reflected over which line?

Back

y = x

Front

Are these functions inverses? (Example: f(x) = 2x and g(x) = x/2)

Back

No

Front

Find the inverse of f(x) = x^2 - 5.

Back

f^-1(x) = √(x + 5)

Front

What is the definition of an inverse function?

Back

A function that reverses the effect of the original function.

Front

If f(x) = 3x + 2, what is f^-1(x)?

Back

f^-1(x) = (x - 2)/3

Front

What is the graphical representation of an inverse function?

Back

It is a reflection of the original function over the line y = x.

Front

How do you verify if two functions are inverses?

Back

If f(g(x)) = x and g(f(x)) = x for all x in the domain.

Front

What is the inverse of the function f(x) = 1/x?

Back

f^-1(x) = 1/x.