What is the inverse of f(x)=5+sqrt(4x-5) ?

The inverse of f(x)=5+sqrt(4x-5) is (x^2-10x+30)/4

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inverse of f(x)=5+sqrt(4x-5)

inverse

f (x) = 5 + 4 x - 5

\frac{x ^{2} - 10 x + 30}{4}

Solution steps

y = 5 + 4 x - 5

Replace

x

with

y

x = 5 + 4 y - 5

Solve for

y, x = 5 + 4 y - 5

\frac{x ^{2} - 10 x + 30}{4}

x^{2} - 12 x

f (x) = \frac{( x + 3 )}{8}

\frac{3 x ^{1 + \frac{1}{2}}}{8}

e^{- 3 t}

\frac{x ^{3} - 11 x ^{2} + 24 x}{x ^{2} - 8 x}

What is the inverse of f(x)=5+sqrt(4x-5) ?
The inverse of f(x)=5+sqrt(4x-5) is (x^2-10x+30)/4