Question 80382
{{{f(x)=2/3x-3/5}}}
First, write the function as an equation:
{{{y=2/3x-3/5}}}
solve the equation for x:
{{{2x/3=y+3/5}}}
{{{2x=3y+9/5}}}
{{{x=3y/2+9/10}}}
Now, you can just rewrite this as follows in f^-1(x) form:
{{{highlight(f^-1(x)=3x/2+9/10)}}}
Good Luck,
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