Question

Given y varies inversely as x, and y = 5 when x = 9. Write the inverse function

Answer 1

y = 45/x

Explanation:

Given y varies inversely as x, then;

y = k/x

If y = 5 when x = 9

5 = k/9

k = 5*9

k = 45

Substitute into the formula above;

y = k/x

y = 45/x

Hence the required inverse function is y = 45/x