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.

yo answer should be 6 if im not mistaken

step-by-step explanation:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!