Question

G(x)=-2/5x-2 inverse function with steps please​

Answer 1

Answer:

${g}^{ - 1} (x) = - \frac{5}{2} x - 5$

Step-by-step explanation:

We want to find the inverse of

$g(x) = - \frac{2}{5}x - 2$

Let

$y= - \frac{2}{5}x - 2$

We interchange x and y to get:

$x= - \frac{2}{5}y - 2$

We now solve for y to obtain:

$x + 2=-\frac{2}{5}y$

$5x = - 2y - 10$

Add 10 to both sides to get:

$5x + 10 = - 2y$

Divide through by -2

$y = - \frac{5}{2} x - 5$

Therefore

${g}^{ - 1} (x) = - \frac{5}{2} x - 5$