7.7 Inverse Relations and Functions

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Presentation transcript:

7.7 Inverse Relations and Functions

An inverse relation “undoes” the relation and switches the x and y coordinates. In other words, if the relation has coordinates (a, b), the inverse has coordinates of (b,a) Function f(x) Inverse of Function f(x) X Y 3 1 4 -3 -5 2 5 -8 X Y 3 4 1 -3 2 -5 5 -8

Finding the Inverse of an equation Find the inverse of y=x2+3 x=y2+3 x – 3 = y2 Switch the x and y Solve for y Find the square root of both sides

Finding the Inverse of a function When we find the inverse of a function f(x) we write it as f-1 Find the inverse of Rewrite using y Switch the x and y Square both sides Solve for y

Let’s Try Some Find the inverse of each

Composition of Inverse Functions For the function

Composition of Inverse Functions Check to see if these two functions are inverses of each other.