Question

Is g(x)=4+x^2/1+x^4 even, odd or neither

Answer 1

Since g(-x) is equal to g(x), the function is an EVEN FUNCTION.

Is the given function even, odd or neither?

Given the function in the question;

g(x) = (4 + x²)/(1 + x⁴)

To determine if the function is even, odd or neither, we find g(-x) by substituting -x for all occurrence of x in the function.

g(x) = (4 + x²)/(1 + x⁴)

g(-1) = (4 + (-x)²)/(1 + (-x)⁴)

Simplify

g(-x) = (4 + x²)/(1 + x⁴)

Hence,

g(-x) = g(x)

Since g(-x) is equal to g(x), the function is an EVEN FUNCTION.

Learn more about even functions here: brainly.com/question/23446734

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