If f of X is equals to 5 x + 6 by 7 x + 9 then f inverse equals to

1.	If f of X is equals to 5 x + 6 by 7 x + 9 then f inverse equals to
Answer» Answer: Step-by-step explanation: Given $<klux>F</klux>(<klux>X</klux>)=\frac{5x+<klux>6</klux>}{7x+9}$ Let $y=\frac{5x+6}{7x+9}$ Let's solve for x y(7x + 9) = 5x + 6 7xy + 9y = 5x + 6 7xy - 5x = 6 - 9y x(7y - 5) = 6 - 9y $x=\frac{6-9y}{7y-5}$ Since, y = f(x), this implies that $x=f^{-1} (y)$ , so $f^{-1}(y) =\frac{6-9y}{7y-5}$ So, the inverse of f is $f^{-1}(x) =\frac{6-9x}{7x-5}$

Answer»

Answer:

Step-by-step explanation: Given

$<klux>F</klux>(<klux>X</klux>)=\frac{5x+<klux>6</klux>}{7x+9}$