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Q32 of 215 Page 3

If f(x) = x + 7 and g(x) = x – 7, x ϵ R, write fog(7).

Formula:-


(i)Let f : AB and g : BC be two functions.


Then, the composition of f and g, denoted by g o f, is defined as the function g o f : AC


given by g o f (x) = g (f (x))


Given:-


(i)f(x) = x + 7


(ii)g(x) = x – 7, x ϵ R


Fog(7)=f(g(7))


Fog(7)=f(7-7)


Fog(7)=f(0)


Fog(7)=0+7


Fog(7)=7


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Questions · 215
2. Functions
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