What is the inverse of f(x)=6sqrt(x+8)-5 ?

The inverse of f(x)=6sqrt(x+8)-5 is (x^2+25)/(36)+(5x)/(18)-8

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inverse of f(x)=6sqrt(x+8)-5

inverse

f (x) = 6 x + 8 - 5

\frac{x ^{2} + 25}{36} + \frac{5 x}{18} - 8

Solution steps

y = 6 x + 8 - 5

Replace

x

with

y

x = 6 y + 8 - 5

Solve for

y, x = 6 y + 8 - 5

\frac{x ^{2} + 25}{36} + \frac{5 x}{18} - 8

What is the inverse of f(x)=6sqrt(x+8)-5 ?
The inverse of f(x)=6sqrt(x+8)-5 is (x^2+25)/(36)+(5x)/(18)-8