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If f(x)=xandg(x)=|x|, then what is (f+g)...

If `f(x)=xandg(x)=|x|`, then what is `(f+g)(x)` equal to ?

A

0 for all a `in` R

B

2x for all x `in ` R

C

`{{:(2x, "for x" ge 0),(0, "for x" lt 0):}`

D

`{{:(0, " for x " ge 0),(2x," for x " lt 0):}`

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The correct Answer is:
C
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DISHA PUBLICATION-RELATIONS AND FUNCTIONS -EXERCISE - 1
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  3. If [x]^2-5[x]+6=0, where [.] denotes the greatest integer function, th...

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  4. The domain of the function f(x) =(1)/(sqrt(|x|-x)), is

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  5. If f(x)=xandg(x)=|x|, then what is (f+g)(x) equal to ?

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  6. If f(x) = e^(-x), then (f (-a))/(f(b)) is equal to

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  7. If P={x in R : f(x)=0} and Q={x in R : g(x)=0 }, then PuuQ is

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  9. let f(x)=sqrt(1+x^2) then

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