What is the range of the function c(x)=(500+3x)/x ??

Find the inverse.


y = (500+3x)/x


Switch x with y and solve for y


x = (500+3y)/y Multiply both sides by y


xy = 500+3y Subtract 3y from both sides


xy - 3y = 500 Factor y from the left side


y(x-3) = 500 Divide both sides by x-3


y = 500/(x-3)


The domain of the inverse is the same as the range of the original function.


The domain of 500/(x-3) is found by setting the denominator equal to zero and solving for x.


x-3 = 0 means x=3


Thus, the domain of the inverse is


All real numbers except 3.


Thus, the range of (500+3x)/x is


All real numbers except 3.

What is the range of the function c(x)=(500+3x)/x ??
3 to infinity