Question

HELP MEDAL AWARDED

Answer 1

given:
g(x)= 2x+1
Substituting x = a+h we find
g(a+h)= 2(a+h)+1

i.e. g(a+h)= 2a+2h+1 ----(1
Next let us replace x by a we find:

g(a)= 2a+1 ----(2

Now subtracting (2 from (1 we find:

g(a+h) -g(a) = 2a+2h+1-(2a+1)

i.e. g(a+h) -g(a) = 2a+2h+1-2a-1

i.e. g(a+h) -g(a) = 2h which is the required answer.

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