Suppose that the function f has domain all real numbers. determine whether each function can be classified as even or odd. explain.
a) g(x)= [f(x) + f(-x)]/2
b) h(x)= [f(x) – f(-x)]/2

a.Even

b.Odd

Step-by-step explanation:

We are given that function f has domain all real numbers .

We have to find that given function is even or odd

a.

We know that if function is even then f(x)=f(-x) and if function is odd then

Replace x by -x then we get

Therefore, function is even .

b.

Replace x by -x

Then we get

Hence, function is odd.

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step-by-step explanation:

step-by-step explanation: 4 cause 2+2=4