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.
1 answer:
Answer:
-150
Step-by-step explanation:
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.
Given the function;
f(x )=150÷x −z
This can also be written as;
f(x )=150/x −z
If f(1.5) = 250, hence;
at x = 1.5, f(x) = 250
Substitute;
250 = 150/1.5 - z
250 = 100 - z
z = 100 - 250
z = -150
Hence the value of z is -150
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