Answer:
f(g(x)) = x
Step-by-step explanation:
[tex]f(x) = 2x + 1 \\ \\ g(x) = \frac{1}{2} x - \frac{1}{2} \\ \\ f(g(x)) = 2 \bigg( \frac{1}{2} x - \frac{1}{2} \bigg) + 1\\ \\ f(g(x)) = 2 \times \frac{1}{2} x - 2 \times \frac{1}{2} + 1\\ \\ f(g(x)) = x -1 + 1\\ \\ f(g(x)) = x [/tex]
