Questions: Evaluate a. f(g(1))= b. g(f(1))=

Evaluate a. f(g(1))= b. g(f(1))=
Transcript text: Evaluate a. $f(g(1))=$ b. $g(f(1))=$
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Solution

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Solution Steps

Step 1: Find g(1)

From graph (b), when x=1, g(1) = 6.

Step 2: Find f(g(1))

Since g(1) = 6, f(g(1)) = f(6). From graph (a), when x=6, f(6) = 6. Therefore, f(g(1)) = 6.

Step 3: Find f(1)

From graph (a), when x=1, f(1) = 4.

Step 4: Find g(f(1))

Since f(1) = 4, g(f(1)) = g(4). From graph (b), when x=4, g(4) = 6. Therefore, g(f(1)) = 6.

Final Answer

a. f(g(1)) = 6 b. g(f(1)) = 6

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