What is the inverse of f(x)=sqrt(2x-6)+13 ?

The inverse of f(x)=sqrt(2x-6)+13 is (x^2-26x+175)/2

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inverse of f(x)=sqrt(2x-6)+13

inverse

f (x) = 2 x - 6 + 13

\frac{x ^{2} - 26 x + 175}{2}

Solution steps

y = 2 x - 6 + 13

Replace

x

with

y

x = 2 y - 6 + 13

Solve for

y, x = 2 y - 6 + 13

\frac{x ^{2} - 26 x + 175}{2}

f (x) = \frac{3 x + 4}{5 x - 2}

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

f (x) = n (n + 1)

f (x) = - 6 (x - 3)^{2} - 2

f (x) = \frac{3 x - 2}{x - 5}

What is the inverse of f(x)=sqrt(2x-6)+13 ?
The inverse of f(x)=sqrt(2x-6)+13 is (x^2-26x+175)/2