What is the inverse of f(x)=5(x-6)^2-5 ?

The inverse of f(x)=5(x-6)^2-5 is sqrt((x+5)/5)+6,-sqrt((x+5)/5)+6

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inverse of f(x)=5(x-6)^2-5

inverse

f (x) = 5 (x - 6)^{2} - 5

\frac{x + 5}{5} + 6, - \frac{x + 5}{5} + 6

Solution steps

y = 5 (x - 6)^{2} - 5

Replace

x

with

y

x = 5 (y - 6)^{2} - 5

Solve for

y, x = 5 (y - 6)^{2} - 5

\frac{x + 5}{5} + 6, - \frac{x + 5}{5} + 6

9 x + 2

f (x) = \frac{3 x + 1}{x}

f (x) = - \frac{7 x}{6}

y = 3 x + 6

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