Question

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

Answer 1

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.