Given that f (x) = 2x+1 and g (x) = - 5+2, solve for f (g (x)) when x=3

When given a function such as h (x) = 3x, the value of h (x) is the y value when graphed. If we are asked to find h (x) at x = 4, all we do is plug 4 in for x.

h (4) = 12

We do the same thing with f (g (x)). First plug x=3 into g (x).

g (3) = - 5 (3) + 2 = - 13

Then plug - 13 into f (x)

f (-13) = 2 (-13) + 1 = - 25

The answer is - 25.