Question 175584
To find the inverse, switch to x,y notation.
{{{ f(x)=5*x+2 }}}
{{{ y=5*x+2}}}
Now interchange x and y and solve for y.
{{{ y=5*x+2}}}
{{{ highlight(x)=5*highlight(y)+2}}}
{{{5y=x-2}}}
{{{y=(x-2)/5}}}
This new y is the inverse function, g.
{{{g(x)=(x-2)/5}}}
It matches the given inverse function.