1. **Evaluate g(3) + g(-3)** given $g(x) = 2x + 1$. Use the function definition: $$g(3) = 2(3) + 1 = 6 + 1 = 7$$ $$g(-3) = 2(-3) + 1 = -6 + 1 = -5$$ So, $$g(3) + g(-3) = 7 + (-5) = 2$$ 2. **Find $f^{-1}(6)$** given $f(x) = x + 4$. To find the inverse, solve for $x$: $$y = x + 4$$ $$x = y - 4$$ So, $$f^{-1}(x) = x - 4$$ Evaluate at 6: $$f^{-1}(6) = 6 - 4 = 2$$ 3. **Calculate $fg(2)$** which means $f(g(2))$. First find $g(2)$: $$g(2) = 2(2) + 1 = 4 + 1 = 5$$ Then find $f(5)$: $$f(5) = 5 + 4 = 9$$ **Final answers:** (i) $2$ (ii) $2$ (iii) $9$