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Answer :
Final answer:
To find f(g(7)), first find g(7) by substituting 7 into g(x) = x + 2. Then substitute the value of g(7) (which is 9) into f(x) = x^2 + 1. This gives us 9^2 + 1 which equals 82.
Explanation:
To solve the problem about composition functions we need to first find the value of g(7). Here, g(x) equals x + 2, so g(7) would equal 7 + 2, which is 9. Now, we have to compute for f(g(7)), which means we substitute the value of g(7) or 9 into the function f(x). Thus, f(9) equals 9^2 + 1. When you square 9, you get 81, and adding 1 to this gives us 82. Therefore, f(g(7)) equals 82.
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