MCQ
The domain of the function $^{7-\text{x}}\text{p}_{\text{x}-3}$ is:
- A{1, 2, 3}
- B{3, 4, 5, 6}
- C{3, 4, 5}
- D{1, 2, 3, 4, 5}
Solution:
$\frac{\text{ (x}^{2} + \ 2)}{(\text{x}^{2} + \ 1)}$
Given f(x) = x2 + 2 and $ \text{g}(\text{x})=\frac{\text{x}}{(\text{x}\ - \ 1)}$
Now, gof(x) = g(x2 + 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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