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Find gof and fog when f: R → R and g : R → R is defined by f (x) = x and \[\mathbf{g}\left( \mathbf{x} \right)\text{ }=\text{ }\left| \mathbf{x} \right|~\]
Find gof and fog when f: R → R and g : R → R is defined by f (x) = x and \[\mathbf{g}\left( \mathbf{x} \right)\text{ }=\text{ }\left| \mathbf{x} \right|~\]
CBSE | Class 12 | Exercise 2.2 | Function | Maths | RD Sharma
Find gof and fog when f: R → R and g : R → R is defined by f (x) = x and \[\mathbf{g}\left( \mathbf{x} \right)\text{ }=\text{ }\left| \mathbf{x} \right|~\]

Given, f: R → R and g: R → R

So, gof: R → R and fog: R → R

f(x) = x and \[g\left( x \right)\text{ }=\text{ }\left| x \right|\]

(gof) (x) = g (f (x))

= g (x)

= \[\left| x \right|\]

Now (fog) (x) = f (g (x))

= f (\[\left| x \right|\])

= \[\left| x \right|\]

i

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