Answer to Question #247904 in Calculus for Anino

Question #247904

Suppose that f is an odd function with domain R. It is know that f(4) = -5. Find f(-4).


1
Expert's answer
2021-10-11T16:16:49-0400

Consider that "f" is an odd function with domain "R" and given that "f(4)=-5"

Require to find "f(-4)"


Recollect the definition of an odd function.

A function "f(x)" is said to be an odd function if "f(-x)=-f(x)"


Using the above definition, let us find the value of "f(-4)"


Now using the above, we have

"f(-4)=-f(4)" [ By using the definition of an odd function ]

"=-(-5)" [ By substituting the given value: "f(4)=-5" ]

"=5" [ By simplification ]


Therefore, "f(-4)=5"



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