Question

find the inverse of the one to one function. f(x)=2x+5/7

Answer 1

$f(x)=\dfrac{2x+5}{7}\\\\ y=\dfrac{2x+5}{7}\\ 7y=2x+5\\ 2x=7y-5\\ x=\dfrac{7y-5}{2}\\ \boxed{f^{-1}(x)=\dfrac{7x-5}{2}}$