Answer: 5
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Step-by-step explanation:
From the table, we see that g(1) = 0
Locate x = 1 in the first row. Then look straight down to see 0 in the g(x) row. That's why g(1) = 0.
This means f( g(1) ) = f( 0 ). I simply replaced g(1) with 0.
The last step is to evaluate f(0).
Locate 0 in the x row. Then look down to see 5 below it. Therefore, f(0) = 5.
Ultimately, f( g(1) ) = f(0) = 5
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In short: the input x = 1 leads to g(x) = 0. Then x = 0 is the input for f(x) which leads to 5.