Question

The inverse of 14/x+3

Answer 1

Here ya go. Hopefully this explained everything.

Answer 2

Interpreted as: $y = \frac{14}{x} + 3$

$y = \frac{14}{x} + 3$

Step 1) Reflect the original function over the y = x line, as this becomes our inverse (ie swap the values of the x and y-coordinates)
$x = \frac{14}{y} + 3$

Step 2) Solve for y.
$\frac{14}{y} + 3 = x$
$\frac{14}{y} = x - 3$
$y(x - 3) = 14$
$y = \frac{14}{x - 3}$

$\therefore y^{-1} = \frac{14}{x - 3}$