Question

Let f and g be functions that satisfy f(x) = 2x + 3 and g(x) = 3x - 1. Find f(g(2)).

Answer 1

To find f(g(2)), first find the value of g(2) by substituting x=2 into the function g(x). Then substitute this value into the function f(x) to find f(g(2)). The result is 13.

Step-by-step explanation:

To find f(g(2)), we first need to find the value of g(2). Substituting x=2 into the function g(x) = 3x - 1, we get g(2) = 3(2) - 1 = 5. Now, we can substitute this value into the function f(x) = 2x + 3 to find f(g(2)). Substituting x=5, we get f(g(2)) = 2(5) + 3 = 13.