Find a formula for the inverse of the given function. f(x) = 7x + 3 6x − 5

Answer 1

I am guessing that f(x) = (7x + 3) / (6x - 5)

Let y = (7x + 3) / (6x - 5)

Switch x and y to get x = (7y + 3) / (6y - 5)

Solve for y: x(6y - 5) = 7y + 3

6xy - 5x = 7y + 3

6xy - 7y = 5x + 3

y = (5x + 3) / (6x - 7) = f^-1(x)