What is the inverse of f(x)=3+sqrt(5x-2) ?

The inverse of f(x)=3+sqrt(5x-2) is (x^2-6x+11)/5

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inverse of f(x)=3+sqrt(5x-2)

inverse

f (x) = 3 + 5 x - 2

\frac{x ^{2} - 6 x + 11}{5}

Solution steps

y = 3 + 5 x - 2

Replace

x

with

y

x = 3 + 5 y - 2

Solve for

y, x = 3 + 5 y - 2

\frac{x ^{2} - 6 x + 11}{5}

f (x) = \frac{1}{1 + lo g _{10} ( x )}

y = 3 x

f (x) = 4 (x - 3)^{2} + 1

f (x) = e^{4 x + 4}

f (x) = 11 x + 12

What is the inverse of f(x)=3+sqrt(5x-2) ?
The inverse of f(x)=3+sqrt(5x-2) is (x^2-6x+11)/5