What is the inverse of f(x)=2sqrt(x+5)+4 ?

The inverse of f(x)=2sqrt(x+5)+4 is -2x+(x^2)/4-1

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inverse of f(x)=2sqrt(x+5)+4

inverse

f (x) = 2 x + 5 + 4

- 2 x + \frac{x ^{2}}{4} - 1

Solution steps

y = 2 x + 5 + 4

Replace

x

with

y

x = 2 y + 5 + 4

Solve for

y, x = 2 y + 5 + 4

- 2 x + \frac{x ^{2}}{4} - 1

\frac{2}{x - 3}

f (x) = \frac{1}{7} x - \frac{3}{7}

f (x) = - \frac{2}{3} x - 10

f (x) = 3 - \frac{2}{3} x

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

What is the inverse of f(x)=2sqrt(x+5)+4 ?
The inverse of f(x)=2sqrt(x+5)+4 is -2x+(x^2)/4-1