Inverse Functions

Front

In an inverse function, the _____ and _______ are switched from the original.

Back

input and output

Front

If f(x)=x+5, what is f^-1(x)?

Back

f(x)=x - 5

Front

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

Back

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

Front

Find the inverse f(x)=2x-2.

Back

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

Front

When finding the inverse of a relation, 1st you replace f(x) with y, 2nd switch the x's and y's. What do you do next?

Back

solve for y

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

How do you verify if two functions are inverses?

Back

If f(g(x)) = x and g(f(x)) = x, then they are inverses.

Front

What is the graphical representation of inverse functions?

Back

They are reflections over the line y=x.

Front

If f(x) = x^2, what is the inverse function?

Back

f^-1(x) is not a function unless restricted to x ≥ 0.