Find the inverse of h (x) = (2x + 6) / 5

h^-1 (x) = (5x - 6) / 2

Step-by-step explanation:

To find the inverse of h (x) = (2x + 6) / 5, we need to solve for 'x':

y = (2x + 6) / 5 ⇒ 5y = 2x + 6 ⇒ 5y - 6 = 2x ⇒ x = (5y - 6) / 2

Therefore, h^-1 (x) = (5x - 6) / 2

(5x-6) / 2

Step-by-step explanation:

h (x) = (2x + 6) / 5

y = (2x + 6) / 5

To find the inverse, exchange x and y

x = (2y+6) / 5

Then solve for y

Multiply each side by 5

5x = (2y+6) / 5*5

5x = 2y+6

Subtract 6 from each side

5x-6 = 2y+6-6

5x-6 = 2y

Divide by 2

(5x-6) / 2 = 2y/2

The inverse is

(5x-6) / 2