What is the inverse of f(x)=2sqrt(x-3)-5 ?

The inverse of f(x)=2sqrt(x-3)-5 is (x^2+25)/4+(5x)/2+3

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inverse of f(x)=2sqrt(x-3)-5

inverse

f (x) = 2 x - 3 - 5

\frac{x ^{2} + 25}{4} + \frac{5 x}{2} + 3

Solution steps

y = 2 x - 3 - 5

Replace

x

with

y

x = 2 y - 3 - 5

Solve for

y, x = 2 y - 3 - 5

\frac{x ^{2} + 25}{4} + \frac{5 x}{2} + 3

(- 2, 10), (1, - 6)

f (x) = 6 (x + 7) - 5

y = x^{3} - 2

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

2 x + 5

What is the inverse of f(x)=2sqrt(x-3)-5 ?
The inverse of f(x)=2sqrt(x-3)-5 is (x^2+25)/4+(5x)/2+3