Question

Which of the following function(s) have the same domain and range?

• A. $f(x)=\sqrt{1-x^2}$
• B. $g(x)=\frac{1}{x}$
• C. $h(x)=\sqrt{x}$
• D. $l(x)=\sqrt{4-x}$

Answer 1

Answer: (B), (C)

(A) $[-1,1]$ and $[0,1]$
(B) $(-\infty ,0)\cup (0,\infty )\&(-\infty ,0)\cup (0,\infty )$
(C) $[0,\infty )$ and $[0,\infty )$
(D) $(-\infty ,4]$ and $[0,\infty )$