What is the inverse of f(x)=sqrt(6x-2)+3 ?

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

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inverse of f(x)=sqrt(6x-2)+3

inverse

f (x) = 6 x - 2 + 3

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

Solution steps

y = 6 x - 2 + 3

Replace

x

with

y

x = 6 y - 2 + 3

Solve for

y, x = 6 y - 2 + 3

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

f (x) = 135.905

f (x) = 4 (x - 3) 2 + 2

10 - 3 x

11 + 3 x - 3

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