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Evaluate composite functions given the graph of functions Question
Given the graphs of f(x) and g(x) below, find the composition of functions f(g(2)).
f(x)
g(x)

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03:11

Function Composition Using Graphs

Use the graphs for f(z) and g(z) to evaluate the expressions below. Write your answer as an integer or a reduced fraction:

f(g(2))f(f(0))9(f(3))g(g(1))

00:24

Use the graphs of f and g to evaluate the composite function, (g f)(2).

01:04

Evaluate each composite function using the graphs of \$y=f(x)\$ and \$y=g(x)\$ shown in the figure below.(a) \$(g \circ f)(1)\$(b) \$(g \circ f)(5)\$(c) \$(f \circ g)(7)\$(d) \$(f \circ g)(2)\$

01:14

Given the graphs of f(z) and g(x) below, find the composition of functions f(g(1)).Do not type “f(g(1)) =” in your answer.

f(z)g(x)

Transcript

So what exactly is the composition of functions? Well, this is f of g of 2. So really what’s happening. Is i’m plugging in g of x, inside of f of x, o the way to work through composition is to do the innermost function and work outward so g? F. 2. My x value is 2, so at 2. What is my g value? Well is the point on the g graph is going to be to 0, so when…