Question

If f(x)= 3x+2 and g(x)= x-4 find f(x*g)(2)

Step by step explanation if possible.

Answer 1

To find f(g(2)), first calculate g(2) which is -2.

Then, plug -2 into the function f(x), resulting in f(-2) which simplifies to -4.

Step-by-step explanation:

The task is to calculate f(g(x)) when x=2 for the functions f(x)= 3x+2 and g(x)= x-4.

First, we evaluate g(x) at x=2, which gives us:

g(2) = 2 - 4

= -2

With the value of g(2), we can now evaluate f(g(2)):

f(g(2)) = f(-2)

= 3(-2) + 2

= -6 + 2

= -4

Therefore, f(g(2)) = -4.