What is the inverse of f(x)=sqrt((x+4)/(x-6)) ?

The inverse of f(x)=sqrt((x+4)/(x-6)) is (4+6x^2)/(x^2-1)

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inverse of f(x)=sqrt((x+4)/(x-6))

inverse

f (x) = \frac{x + 4}{x - 6}

\frac{4 + 6 x ^{2}}{x ^{2} - 1}

Solution steps

y = \frac{x + 4}{x - 6}

Replace

x

with

y

x = \frac{y + 4}{y - 6}

Solve for

y, x = \frac{y + 4}{y - 6}

\frac{4 + 6 x ^{2}}{x ^{2} - 1}

ln (14 x + e)

3 x^{\frac{2}{7}}

f (x) = \frac{4 x + 7}{x + 2}

\frac{+ z ( 10 + 5 z )}{( 2 z - 11 )}

f (x) = \frac{( 6 - x )}{( 5 + x )}

What is the inverse of f(x)=sqrt((x+4)/(x-6)) ?
The inverse of f(x)=sqrt((x+4)/(x-6)) is (4+6x^2)/(x^2-1)