If \(f(x)=\frac{4x+5}{x-6}, x\neq 6\) then \(f^{-1}(x)\) is equal to
Answer & explanation
Correct answer: option 3
$y=\frac{4x+5}{x-6}$
so $xy-6y=4x+5⇒x(y-4)=6y+5$
so $x=\frac{6y+5}{y-4},y≠4$
$f^{-1}(x)=\frac{6x+5}{x-4},x≠4$
If \(f(x)=\frac{4x+5}{x-6}, x\neq 6\) then \(f^{-1}(x)\) is equal to
Correct answer: option 3
$y=\frac{4x+5}{x-6}$
so $xy-6y=4x+5⇒x(y-4)=6y+5$
so $x=\frac{6y+5}{y-4},y≠4$
$f^{-1}(x)=\frac{6x+5}{x-4},x≠4$