Question

Consider the function below. f(t) = 180000-9000t +t^2

Compute and simplify the difference quotient of the given function.
f(t+h) - f(t) / all divided (h)

Answer 1

f(t+h) = 180000-9000(t+h) + (t+h)^2

Answer 2

So, rest is expanding terms, doing arithmetic, etc.!

Answer 3

can you show me step by step , im really lost and have tried this problem many times already

Answer 4

f(t+h) = 180000 - 90000t - 90000h + t^2 + 2th + h^2
f(t) = 180000 - 90000t + t^2

So, f(t+h) - f(t) = 180000 - 90000t - 90000h + t^2 + 2th + h^2 - 180000 + 90000t - t^2
So, f(t+h) - f(t) = 2th + h^2 - 90000h

That thing divided by h:
2t + h - 90000

Answer 5

ummm so whats the answer then?

Answer 6

I guess that is it.