What is the inverse of f(x)= 1/2 (x)^{1/2}+3 ?

The inverse of f(x)= 1/2 (x)^{1/2}+3 is 4x^2-24x+36

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inverse of f(x)= 1/2 (x)^{1/2}+3

inverse

f (x) = \frac{1}{2} (x)^{\frac{1}{2}} + 3

4 x^{2} - 24 x + 36

Solution steps

y = \frac{1}{2} x^{\frac{1}{2}} + 3

Replace

x

with

y

x = \frac{1}{2} y^{\frac{1}{2}} + 3

Solve for

y, x = \frac{1}{2} y^{\frac{1}{2}} + 3

4 x^{2} - 24 x + 36

f (t) = 10 ln (40 t - 1200)

f (x) = (x - 1) 3

tan (x^{2})

- 1 (\frac{5 - x}{3 x - 4})

y = \frac{8 x - 5}{7 x + 1}

What is the inverse of f(x)= 1/2 (x)^{1/2}+3 ?
The inverse of f(x)= 1/2 (x)^{1/2}+3 is 4x^2-24x+36