Solved: Assume that ƒ is an even function, g is an odd

Chapter 1, Problem 77E

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QUESTION:

Assume that \(ƒ\) is an even function, gis an odd function, and both\(ƒ\) and g are defined on the entire real line \(ℝ\). Which of the follow-ing (where defined) are even? Odd?

\(fg\)\(f/g\)\(g/f\)\(f2 = f f\)\(g2 = gg\)\(f ∘ g\)\(g ∘ f\)\(f ∘ f\)\(g ∘ g\)

Questions & Answers

QUESTION:

Assume that \(ƒ\) is an even function, gis an odd function, and both\(ƒ\) and g are defined on the entire real line \(ℝ\). Which of the follow-ing (where defined) are even? Odd?

\(fg\)\(f/g\)\(g/f\)\(f2 = f f\)\(g2 = gg\)\(f ∘ g\)\(g ∘ f\)\(f ∘ f\)\(g ∘ g\)

ANSWER:

SOLUTION

Step 1 of  3

We have to find even and odd function.

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