Question

If f(x)=x+7 and g(x)=x-7, x∈ R ,find (fog)((7) .

Answer 1

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Answer 2

Answer:

(fog)(7) = 7

Explanation:

It is given that,

f(x) = x + 7 ---(1)

g(x) = x - 7 ----(2)

x €R

i ) (fog)(x)

= f[g(x)]

=f(x-7) /* from (2) */

= x - 7 + 7 /* from (1) */

= x

Therefore,

(fog)(x) = x -----(3)

Now ,

(fog)(7) = 7 /* from (3)

Therefore,

(fog)(7) = 7

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