What is the inverse of f(x)=5sqrt(x+9)+1 ?

The inverse of f(x)=5sqrt(x+9)+1 is (x^2-2x+1)/(25)-9

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inverse of f(x)=5sqrt(x+9)+1

inverse

f (x) = 5 x + 9 + 1

\frac{x ^{2} - 2 x + 1}{25} - 9

Solution steps

y = 5 x + 9 + 1

Replace

x

with

y

x = 5 y + 9 + 1

Solve for

y, x = 5 y + 9 + 1

\frac{x ^{2} - 2 x + 1}{25} - 9

f (x) = \frac{1}{9} (2 x (x + 1) - x - 10) + 1

f (x) = 5 x^{5} - 9

f (x) = \frac{( 1 + e ^{- x} )}{5 e ^{x}}

f (x) = \frac{1}{x ^{2} - 5}

f (x) = 5 - 2 x

What is the inverse of f(x)=5sqrt(x+9)+1 ?
The inverse of f(x)=5sqrt(x+9)+1 is (x^2-2x+1)/(25)-9