Question

If f(x)= 1/2x+1 then show that f(f(x))=2x+1/2x+3

Answer 1

It has given that function, f(x) = 1/(2x + 1)

To show : f(f(x)) = (2x + 1)/(2x + 3)

solution : f(f(x)) = f(1/(2x + 1))

= 1/{2 × 1/(2x + 1) + 1 }

= 1/{2/(2x + 1) + 1 }

= 1/[{2 + (2x + 1)}/(2x + 1)]

= 1/{(2x + 3)/(2x + 1)}

= (2x + 1)/(2x + 3)

Therefore function, f(f(x)) = (2x + 1)/(2x + 3).

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Answer 2

Answer:

f(x)1/2x+1 find domain and range