Question

1. write down this question and your work in your math notebook. you will receive credit for completion. using the graphs of f(x) and g(x) below, find g(f(1)). use your notes on chapter 1.4 to help you on composition of functions. \\(\bigcirc\\) \\(g(f(1)) = 0\\) \\(\bigcirc\\) \\(g(f(1)) = 1\\) \\(\bigcirc\\) \\(g(f(1)) = 2\\) \\(\bigcirc\\) \\(g(f(1)) = 3\\) \\(\bigcirc\\) \\(g(f(1)) = 4\\) \\(\bigcirc\\) \\(g(f(1)) = 5\\)

Explanation:

Step1: Find f(1) from graph f

From the graph of $f(x)$, when $x=1$, the $y$-value is 3. So $f(1)=3$.

Step2: Find g(f(1)) = g(3)

From the graph of $g(x)$, when $x=3$, the $y$-value is 4. So $g(3)=4$.

Answer:

g(f(1)) = 4