prabahar0179
Answered

PLEASE HELP ME !!!!!!!!!!!
for each equation, find f(-x) and -f(x) and then determine whether if is even, odd or neither. Justify your answer


[tex]f(x)=x^4+4/x^2+1[/tex]



Answer :

MrRoyal

The function f(x) = x^4 + 4/x^2 + 1 is an even function

How to determine the function type?

The equation of the function is given as

f(x) = x^4 + 4/x^2 + 1


Calculate f(-x)

So, we have

f(-x) = (-x)^4 + 4/(-x)^2 + 1

Evaluate the exponents

f(-x) = x^4 + 4/x^2 + 1

Calculate -f(x)

So, we have

-f(x) = -[x^4 + 4/x^2 + 1]

Evaluate the product

-f(x) = - x^4 + 4/x^2 + 1

From the above computations, we have

f(x) = f(-x)

This represents an even function

Hence, the function f(x) = x^4 + 4/x^2 + 1 is an even function

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