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10 votes
10 votes
F(x) =2^x−4
g(x) = 5/x

evaluate g(f(2))=

User Chris Ian
by
2.9k points

1 Answer

20 votes
20 votes

Final answer:

To evaluate g(f(2)), find the value of f(2) and substitute it into g(x). The value of f(2) is 0, so g(f(2)) is undefined.

Step-by-step explanation:

To evaluate g(f(2)), we need to find the value of f(2) first and then substitute it into the function g(x).

Given that f(x) = 2^x - 4, we can find f(2) by substituting x = 2 into the function:

f(2) = 2^2 - 4 = 4 - 4 = 0

Now that we know the value of f(2), we can substitute it into the function g(x) = 5/x:

g(f(2)) = g(0) = 5/0 (undefined)

User Brian Schermerhorn
by
2.7k points
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