Given f (x) = x^2+3 and g (x) = x+5/x. Find (g o f) (4)

Question

Mathematics

Mercedes Mcneil

3 October, 01:11

Given f (x) = x^2+3 and g (x) = x+5/x. Find (g o f) (4)

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Answers (1)

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Tatum Bush · Answer 1

To find g (f (4)), work from the inside out.

f (4) is 4^2+3, or 16+3, or 19. Now, we must find g (19).

This is 19+5/19. This is already a mixed number, though if you want an improper fraction solution, we have:

361/19+5/19

Which simplifies to:

366/19

Therefore, 366/19 is the answer.