What is the inverse of f(x)=2sqrt(x)+5 ?

The inverse of f(x)=2sqrt(x)+5 is (x^2)/4-(5x)/2+25/4

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inverse of f(x)=2sqrt(x)+5

inverse

f (x) = 2 x + 5

\frac{x ^{2}}{4} - \frac{5 x}{2} + \frac{25}{4}

Solution steps

y = 2 x + 5

Replace

x

with

y

x = 2 y + 5

Solve for

y, x = 2 y + 5

\frac{x ^{2}}{4} - \frac{5 x}{2} + \frac{25}{4}

f (x) = \frac{1}{2} lo g_{10} (4 x)

\frac{x - 2}{3}

6 + 2 x - 2

f (x) = 2 - 3 x^{2}, x \leq 0

What is the inverse of f(x)=2sqrt(x)+5 ?
The inverse of f(x)=2sqrt(x)+5 is (x^2)/4-(5x)/2+25/4