Question

If $f\left(x\right)$ is defined over the domain $[0,1]$ then the domain of function $f\left(106x\right)$ is :

• A. [0,$\frac{1}{106}$]
• B. $[0,1]$
• C. $[1,10]$
• D. $[0,\infty )$

Answer 1

Answer: (A)

[0,$\frac{1}{106}$]

$f\left(x\right)\Rightarrow xϵ[0,1]$

$f\left(106x\right)\Rightarrow 106xϵ[0,1]$

$\Rightarrow xϵ[\frac{0}{106},\frac{1}{106}]$

$\Rightarrow xϵ[0,1/106]$ Answer