Solve the maths question?

Question

find and simplify f(a+h)-f(a)/h where f(x)=6x-9

Answer 1

You're kidding, right?

Just plug them in:

if f(x) = Ax

then f(x+b) = A ( x+b )

and f(x) / b = Ax/b

Answer 2

I think your question is:

limit as h -> 0 f(a+h)-f(a)/h

In that cae the answer is 6.

it is as follows:

=6(a+h)-9-(6(a)-9)/h

=6h/h

=6

Answer 3

f(x)=6x-9

f(a+h) = 6(a+h)-9 = 6a +6h-9

f(a) = 6a - 9

f(a+h)-f(h)=6a + 6h - 9 - (6a - 9) = 6h

so, (f(a+h)-f(h)0/h = 6