The function fx - -logx2 x is defined for x belonging to

The correct options are B (0, 1) C (1, ∞) For given function to be defined x gt; 0, ≠ 1 and log_x^2x gt; 0 Thus required domain is ...

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Standard XII

Mathematics

Definition of Functions

The function ...

Question

The function $f (x) = \sqrt{{log}_{x}^{2} (x)}$ is defined for x belonging to

(- \infty, 0)

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(0, 1)

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(1, \infty)

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(0, \infty)

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Solution

The correct options are
B $(0, 1)$
C $(1, \infty)$
For given function to be defined $x > 0, \neq 1$
and ${log}_{x}^{2} x > 0$
Thus required domain is $x \in (0, 1) \cup (1, \infty)$

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The function f(x)=√log2x(x) is defined for x belonging to

The correct options are B (0,1) C (1,∞)For given function to be defined x>0,≠1 and log2xx>0 Thus required domain is x∈(0,1)∪(1,∞)

The function $f (x) = \sqrt{{log}_{x}^{2} (x)}$ is defined for x belonging to

The correct options are
B $(0, 1)$
C $(1, \infty)$
For given function to be defined $x > 0, \neq 1$
and ${log}_{x}^{2} x > 0$
Thus required domain is $x \in (0, 1) \cup (1, \infty)$