Question

The function f is defined by f(x )=150÷x −z , where z is constant.Find z if the value of f at x = 1 5 is equal to 250.

Answer 1

To find the value of z in the function f(x) = 150 / (x - z) when f(15) = 250, we can solve the equation 250 = 150 / (15 - z) for z. The value of z is 14.4.

Step-by-step explanation:

To find the value of z, we can substitute the given values into the function equation and solve for z. The function is defined as f(x) = 150 / (x - z), and the value of f at x = 15 is equal to 250. So, we have:

250 = 150 / (15 - z)

To solve this equation, we can multiply both sides by (15 - z) to eliminate the fraction:

250(15 - z) = 150

Now, we can solve for z by isolating it:

250(15 - z) = 150

3750 - 250z = 150

-250z = -3600

z = -3600 / -250

z = 14.4

Therefore, the value of z is 14.4.