Question

If f(x)= x^2and g(x) =1/2x+3 , find g(f(-1)).

Answer 1

$\text{Solve for f(x) first, then plug your answer from f(x) to g(x)}\\\\\text{Substitute -1 for x in the f(x) equation}\\\\f(x)=(-1)^2\\\\f(x)=1\\\\\text{Now plug 1 into g(x)}\\\\g(x)=\frac{1}{2(1)+3}\\\\\text{Solve:}\\\\g(x)=\frac{1}{2(1)+3}\\\\g(x)=\frac{1}{2+3}\\\\g(x)=\frac{1}{5}\\\\\text{Your answer would be: C).}\,\,\frac{1}{5}\\\\\boxed{C).\,\,\frac{1}{5}}$