Function slope graph

Question

If f(x)=3x+5 and g(x)=9x-2. what is the slope of the graph of the function (f-g)(x)

Answer 1

To me, what it looks like you're asking about is subtracting the two functions:

(f - g)(x) = f(x) - g(x) = 3x + 5 - (9x - 2)

= -6x + 7

If this is the case, then the slope is -6.

But if what you really need to know is function composition, (f o g)(x), then you need to do:

(f o g)(x) = f(g(x)) = f(9x - 2) = 3(9x - 2) + 5

= 27x - 6 + 5

= 27x - 1

If so, then the slope is 27. Hope this helps!