What is the inverse of f(x)=sqrt(4x-10)+13 ?

The inverse of f(x)=sqrt(4x-10)+13 is (x^2-26x+179)/4

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inverse of f(x)=sqrt(4x-10)+13

inverse

f (x) = 4 x - 10 + 13

\frac{x ^{2} - 26 x + 179}{4}

Solution steps

y = 4 x - 10 + 13

Replace

x

with

y

x = 4 y - 10 + 13

Solve for

y, x = 4 y - 10 + 13

\frac{x ^{2} - 26 x + 179}{4}

(x + 1) (x - 3)

- \frac{2}{2}

ln (3 x - 5)

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

f (- 8) = \frac{x + 5}{x + 8}

What is the inverse of f(x)=sqrt(4x-10)+13 ?
The inverse of f(x)=sqrt(4x-10)+13 is (x^2-26x+179)/4