Answer:
To find the inverse of the function.
Given function is,
[tex]g(x)=-\frac{3}{5}x[/tex]
we know that,
The inverse function returns the original value for which a function gave the output.
Consider the function,
[tex]y=-\frac{3}{5}x[/tex]
replace x by y and y by x, we get,
[tex]x=-\frac{3}{5}y[/tex]
Solve for y we get,
[tex]-3y=5x[/tex][tex]y=-\frac{5}{3}x[/tex]
The inverse function f(x) is,
[tex]f(x)=-\frac{5}{3}x[/tex]
The inverse function is,
[tex]f(x)=-\frac{5}{3}x[/tex]
