The domain of the function ^ 7-x p_ x-3 is: - Vidyadip

MCQ

The domain of the function $^{7-\text{x}}\text{p}_{\text{x}-3}$ is:

✓
$\{1, 2, 3\}$
B
$\{3, 4, 5, 6\}$
C
$\{3, 4, 5\}$
D
$\{1, 2, 3, 4, 5\}$

✓

Answer

Correct option: A.

$\{1, 2, 3\}$

$\frac{\text{ (x}^{2} + \ 2)}{(\text{x}^{2} + \ 1)}$
Given $f(x) = x^2 + 2$ and $\text{g}(\text{x})=\frac{\text{x}}{(\text{x}\ - \ 1)}$
Now, $gof(x) = g(x^2+ 2)$
$= \text{got}(\text{x})=\text{g}(\text{x}^2 +2)$
$=\frac{\text{ (x}^{2} +\ 2)}{(\text{x}^{2} \ +\ 2\ -\ 1)}$
$=\frac{(\text{x}^2\ +\ 2)}{(\text{x}^2\ +\ 1)}$

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