6. If p(x) = x + 5, then find p(x) + p (-x) is
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Answer:
GIVEN THAT,
p(x) = x+3
=> p(-x) = -x + 3
Now,
p(-x) + p(x)
= -x + 3 + x + 3
= 3 + 3
= 6
The value of p(-x)+p(x) is 6.
Step-by-step explanation:
The given function is
p(x)=x+3 .... (1)
Substitute x=-x, it the given function.
p(-x)=-x+3 ..... (2)
Now add the equations (1) and (2).
p(-x)+p(x)=(-x+3)+(x+3)
Combined like terms.
p(-x)+p(x)=(-x+x)+(3+3)
p(-x)+p(x)=6
Therefore the value of p(-x)+p(x) is 6.
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