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Inverse of f(x) = 8 square root of x for x ≥ 0

User Styko
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Final answer:

The inverse of the function f(x) = 8 square root of x is f^(-1)(x) = x^2/64 for x ≥ 0.

Step-by-step explanation:

To find the inverse of the function f(x) = 8 square root of x, we need to switch the roles of x and y.

Start by replacing f(x) with y: y = 8 square root of x.

Next, swap x and y: x = 8 square root of y.

Solve for y: square both sides of the equation to get x^2 = 64y, then divide both sides by 64 to get y = x^2/64.

Therefore, the inverse of f(x) = 8 square root of x is f^(-1)(x) = x^2/64 for x ≥ 0.

User Abijeet Patro
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