What is the inverse of f(x)=sqrt((-3x-11)/(2x-8)) ?

The inverse of f(x)=sqrt((-3x-11)/(2x-8)) is (-11+8x^2)/(2x^2+3)

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inverse of f(x)=sqrt((-3x-11)/(2x-8))

inverse

f (x) = \frac{- 3 x - 11}{2 x - 8}

\frac{- 11 + 8 x ^{2}}{2 x ^{2} + 3}

Solution steps

y = \frac{- 3 x - 11}{2 x - 8}

Replace

x

with

y

x = \frac{- 3 y - 11}{2 y - 8}

Solve for

y, x = \frac{- 3 y - 11}{2 y - 8}

\frac{- 11 + 8 x ^{2}}{2 x ^{2} + 3}

f (x) = (x^{3} + 25)

f (x) = 6 x + 7 - 9

f (x) = 49 - x^{2}

f (x) = 2 + ln (x + 3)

f (x) = x^{2} - 5 x - 6

What is the inverse of f(x)=sqrt((-3x-11)/(2x-8)) ?
The inverse of f(x)=sqrt((-3x-11)/(2x-8)) is (-11+8x^2)/(2x^2+3)