## Intermediate Algebra: Connecting Concepts through Application

$f^{-1}(x) = \frac{x+7}{1.4}$
$f(x) = 1.4x - 7$ Let $f(x) = y$ $y = 1.4x - 7$ Swap the variables $x$ and $y$ and then solve for $y$ to find the inverse: $x = 1.4y - 7$ $x + 7 = 1.4y$ $y = \frac{x+7}{1.4}$ $f^{-1}(x) = \frac{x+7}{1.4}$