What is the inverse of f(x)=((2x+5))/((x-11)) ?

The inverse of f(x)=((2x+5))/((x-11)) is (5+11x)/(x-2)

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inverse of f(x)=((2x+5))/((x-11))

inverse

f (x) = \frac{( 2 x + 5 )}{( x - 11 )}

\frac{5 + 11 x}{x - 2}

Solution steps

y = \frac{2 x + 5}{x - 11}

Replace

x

with

y

x = \frac{2 y + 5}{y - 11}

Solve for

y, x = \frac{2 y + 5}{y - 11}

\frac{5 + 11 x}{x - 2}

\frac{( x - 1 ) ^{7} + 5}{3}

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

6 - lo g_{5} (2 x - 7)

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

1 - x^{2}, - 1 \leq x \leq 1

What is the inverse of f(x)=((2x+5))/((x-11)) ?
The inverse of f(x)=((2x+5))/((x-11)) is (5+11x)/(x-2)