Question 63096
f(x) = 4/(x+7)

that is y = 4/(x+7)

First we interchange x and y

==> x = 4/(y+7)

==> x(y+7) = 4
==> xy + 7x = 4
==> xy = 4 - 7x
==> xy/x = (4-7x)/x
==> y = (4-7x)/x

The inverse of the given function is f^(-1) (x) = (4-7x)/x


We see the above is not defined at x = 0

So range of the given function is all real numbers except 0.
Range = R - {0}


Good Luck!!!