Math, asked by sirivikasana, 10 months ago

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

Answers

Answered by amarmathbhu28
0

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}

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