Describe or give an example of a) two odd functions whose sum is an even function b) two functions whose sum represents a vertical stretch applied to

Yasmin

Yasmin

Answered question

2021-05-03

Describe or give an example of a) two odd functions whose sum is an even function b) two functions whose sum represents a vertical stretch applied to one of the functions c) two rational functions whose difference is a constant function

Answer & Explanation

saiyansruleA

saiyansruleA

Skilled2021-05-04Added 110 answers

a)f(x)=0; g(x)=0
b)f(x)=x2;g(x)=x2
(f+g)(x)=x2+x2=2x2
It is a vertical stretch of 2 from the original function.
c)f(x)=1x2;g(x)=(1x2)+2
So, (fg)(x)=1x2((1x2)+2)=2

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