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

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

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

inverse

f (x) = 5 x + 1

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

Solution steps

y = 5 x + 1

Replace

x

with

y

x = 5 y + 1

Solve for

y, x = 5 y + 1

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

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

f (x) = e^{x} x

f (x) = - 4 x^{2} - x^{3}

f (x) = ln (e^{x} - 4)

ln (\frac{1}{2})

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