What is the inverse of h(x)=3 square root x -3

y =

Step-by-step explanation:

To find the inverse, we will set it equal to y, switch the x and y values, then solve for y.

[Given] h(x)=3 square root x -3

[Rewrite] y = 3

[Switch values] x = 3

[Square both sides] x² = 9(y - 3)

[Distrubte] x² = 8y - 27

[Add 27 to both sides & flip equation] 8y =  x² + 27

[Divide both sides of 8] y =

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- Heather

cross multiplying, we get :

⇒ (3) × (5) = (9) × (x)

⇒ 15 = 9x