Question

What’s the inverse equation? And how you solved it step by step please!

Answer 1

The inverse is (x^2-5)/2

Explanation:

y =sqrt(2x+5)

Exchange x and y

x = sqrt(2y+5)

Solve for y

Square each side

x^2 = (sqrt(2y+5))^2

x^2 = 2y+5

Subtract 5 from each side

x^2 -5 = 2y-5+5

x^2 -5 = 2y

Divide each side by 2

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

(x^2-5)/2 = y

The inverse is (x^2-5)/2