Question

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

Answer 1

Answer:

Step-by-step explanation: Given

$f(x)=\frac{5x+6}{7x+9}$

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

$f^{-1}(x) =\frac{6-9x}{7x-5}$