If $f (x) = 5 x + 12$ $f(x) = 5x+12$ , what is $f^{- 1} (x)$ $f^-1(x)$ ?

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Answer 1 · 2017-11-14T01:38:16

For convinces sake lets say f(x) is y:

$y = 5 x + 12$ $y = 5x + 12$

To find the inverse of the function, swap x and y and solve for y again.

$x = 5 y + 12$ $x = 5y + 12$

Subtract 12 on both sides:
$x - 12 = 5 y$ $x - 12 = 5y$

Divide by 5:
$y = \frac{x - 12}{5}$ $y = (x - 12) / (5)$

So $f^{- 1} (x) = \frac{x - 12}{5}$ $f^(-1)(x) = (x-12)/(5)$

If f(x) = 5x+12f(x)=5x+12f(x) = 5x+12, what is f^-1(x)f−1(x)f^-1(x)?