What is the inverse of f(x)= 1/2 sqrt(x)-4 ?

The inverse of f(x)= 1/2 sqrt(x)-4 is 4x^2+32x+64

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inverse of f(x)= 1/2 sqrt(x)-4

inverse

f (x) = \frac{1}{2} x - 4

4 x^{2} + 32 x + 64

Solution steps

y = \frac{1}{2} x - 4

Replace

x

with

y

x = \frac{1}{2} y - 4

Solve for

y, x = \frac{1}{2} y - 4

4 x^{2} + 32 x + 64

f (x) = \frac{6}{x ^{2} + 1}

- 3 x + y = 1

(- 6, 2), (4, 1)

f (x) = 3 sin (x)

f (x) = (\frac{x - 1}{3})

What is the inverse of f(x)= 1/2 sqrt(x)-4 ?
The inverse of f(x)= 1/2 sqrt(x)-4 is 4x^2+32x+64