Question

F(x) = 2x + 7 and g(x) = 3x − 2, find f(g((6))

Answer 1

To find f(g(6)), we need to first find g(6) by plugging 6 into the function g(x) and solving for the output:

g(6) = 3x - 2 = 3 * 6 - 2 = 16

Next, we plug the result of g(6), which is 16, into the function f(x) and solve for the final output:

f(g(6)) = f(16) = 2x + 7 = 2 * 16 + 7 = 31

So f(g(6)) = 31.