What is the inverse of f(x)=2sqrt(y)+3 ?

The inverse of f(x)=2sqrt(y)+3 is (y^2)/4-(3y)/2+9/4

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inverse of f(x)=2sqrt(y)+3

inverse

f (x) = 2 y + 3

\frac{y ^{2}}{4} - \frac{3 y}{2} + \frac{9}{4}

Solution steps

x = 2 y + 3

Replace

y

with

x

y = 2 x + 3

Solve for

x, y = 2 x + 3

\frac{y ^{2}}{4} - \frac{3 y}{2} + \frac{9}{4}

f (x) = 6 (x^{- \frac{1}{3}})

8 x^{6} + 19 x^{3} + 27

y = \frac{x ^{5} - 2}{3}

[ln (\frac{x + 1}{x - 1})]^{2}

lo g_{2} (x + 3) - 2

What is the inverse of f(x)=2sqrt(y)+3 ?
The inverse of f(x)=2sqrt(y)+3 is (y^2)/4-(3y)/2+9/4