If f(x)=x-5 then find the value of f(x) + f (-x)
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If f(X) =x^2+4 x+5 then for what value of x, f(x) =f(x+1)?
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f(x)= x^2 +4x+5.................. 1st equation
f(x+1)= (x+1)^2+4(x+1)+5
= x^2 +2x +1+4x+4+5
f(x+1) =X^2 +6x+10............. 2nd equation
Now, according to the requirement of the question,
Do 1st equation = 2nd equation.
So,
x^2 +4x +5=x^2 +6x +10
After simplifying this equation you will get the ans. that x=- 5/2.
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