| Verbal Description |
Algebraic Representation |
| f(x) can be written as y |
y = 5x 2 – 12 |
| The inverse of a function is the exchange of the x- and y-values. Rewrite the equation to create the inverse function. |
x = 5y 2 – 12 |
| Add 12 to both sides. |
x + 12 = 5y 2 – 12 + 12 |
| Simplify |
x + 12 = 5y 2 |
| Solve for y2 by dividing both sides by 5. |
x + 12 over 5
x + 12
5
=
5 over 5
5
5
y 2 |
| Simplify |
x + 12 over 5
x + 12
5
= y 2 |
| Solve for y by taking the square root of both sides to eliminate the squared term. It is standard practice to only take the positive square root. |
 = y |
| Rewrite the equation. |
f -1 (x) = |
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