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Evaluate composite functions given the graph of functions Question
Given the graphs off(x) and g(x) below, find the composition of functions f(g(5)).
5
g(x)
3
f(c)
3
4 5
f(g(5))

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02:33

Evaluating Composite Functions Use the graphs of $f$ and $g$ to evaluate each expression. If the result is undefined, explain why.

$$\begin{array}{l}{\text { (a) }(f \circ g)(3)} \\ {\text { (b) } g(f(2))} \\ {\text { (c) } g(f(5))} \\ {\text { (d) }(f \circ g)(-3)} \\ {\text { (e) }(g \circ f)(-3)} \\ {\text { (f) } f(g(-1))}\end{array}$$

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) $(f \circ g)(2)$

02:45

Use the graphs to evaluate the composite functions below: Remember that (f 0 g) (c) = f (g (x))fox]g(A (fo 9) (0) =B. (g0 f) (4) =c f(f(5)) =D. g (g (1)) =

01:19

Use the graphs of f and g to evaluate the composite function; f(5).(g â—¦ f)(5) =10 -8y = g(x)

Transcript

Using the graph, let’s evaluate the composite function, f of g of 5 point. So when i’m looking at the graph here, i noticed that the g graph is in blue and the f graph is in red. They also label them, but i like the colors there. So what we’re going to start with is the g graph, so we’re going to, let me go back and do that in blue, since we have it in blue, i’m going to look at my g graph and then i’m going to say g of 5 means that If we have an x value of 5,…