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Question

Let f(x) = 9x ÷ 9x + 3 then f(x) + f(1 - x) =

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Solution

Given f (x) = 9^x/(9^x+3)

f(1-x) = 9^(1-x)/[9^(1-x)+3]

9^(1-x) = 9/9^x

f(1-x) = 9/9^x/(9/9^x +3)

f(1-x) = 9/(9+3*9^x)

f(1-x) =3/(9^x+3)

f(x)+f(1-x) = 9^x/(9^x+3) + 3/(9^x+3)

= (9^x+3)/(9^x+3)

= 1

Answer : 1

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