What is the inverse of f(x)=2+sqrt(5x-8) ?

The inverse of f(x)=2+sqrt(5x-8) is (x^2-4x+12)/5

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inverse of f(x)=2+sqrt(5x-8)

inverse

f (x) = 2 + 5 x - 8

\frac{x ^{2} - 4 x + 12}{5}

Solution steps

y = 2 + 5 x - 8

Replace

x

with

y

x = 2 + 5 y - 8

Solve for

y, x = 2 + 5 y - 8

\frac{x ^{2} - 4 x + 12}{5}

2 x^{2} + 24 x - 3

- x + 5 - 8

y = x^{2} - x^{4}

f (x) = x^{2} + x + 2

f (x) = - 5 (x) + 2

What is the inverse of f(x)=2+sqrt(5x-8) ?
The inverse of f(x)=2+sqrt(5x-8) is (x^2-4x+12)/5