Question 87826
find the inverse of the function f(x)=(5x+4)/7
y = f(x)
:
y = {{{((5x+4))/7}}}
:
Swap x and y and solve for y:
{{{((5y+4))/7}}} = x
:
Mult both sides by 7 and you have:
5y + 4 = 7x
:
Subtract 4 from both sides:
5y = 7x - 4
:
Divide both sides by 5:
y = {{{((7x-4))/5}}}
:
{{{f^-1}}}(x) = {{{((7x-4))/5}}}