A) \[\frac{{{2}^{10}}-1}{{{2}^{10}}-{{3}^{-10}}}\]
B) \[\frac{1-{{2}^{-10}}}{{{3}^{10}}-{{2}^{-10}}}\]
C) \[\frac{{{3}^{10}}-1}{{{3}^{10}}-{{2}^{-10}}}\]
D) \[\frac{1-{{3}^{-10}}}{{{2}^{10}}-{{3}^{-10}}}\]
Correct Answer: B
Solution :
\[f(g(x))=x\] \[f({{3}^{10}}x-1)={{2}^{10}}({{3}^{10}}.x-1)=x\] \[=\frac{1}{{{3}^{10}}-{{2}^{-110}}}\] \[{{2}^{10}}({{3}^{10}}x-1)+1=x\] \[x({{6}^{10}}-1)={{2}^{10}}-1\] \[x=\frac{{{2}^{10}}-1}{{{6}^{10}}-1}=\frac{1-{{2}^{-10}}}{{{3}^{10}}-{{2}^{-10}}}\]
You need to login to perform this action.
You will be redirected in
3 sec
