If x + 1/x is defined, which must be true?
x ≠ 0
The expression \(x + \frac{1}{x}\) contains a term with x in the denominator.
Division by zero is undefined, so this expression is defined only when \(x \neq 0\).
The value of x can otherwise be any real number, so the only necessary condition is \(x \neq 0\).
Similar Questions
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If \(x + y + z = 0\), find \(x^3 + y^3 + z^3 - 3xyz\).
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Important Questions from Algebra
If 2x – y = 2 and xy = \(\frac{3}{2}\) , then what is the value of x 3– \(\frac{{{y^3}}}{8}\) ?
If (10a 3+ 4b 3) : (11a 3- 15b 3) = 7 : 5, then (3a + 5b) : (9a - 2b) =?
- If 4sin 2 θ = 3(1+ cos θ), 0° < θ < 90°, then what is the value of (2tan θ + 4sin θ - sec θ)?
The value of:
\(\frac{{\sin 23^\circ \cos 67^\circ + \sec52^\circ \sin38^\circ + \cos 23^\circ \sin 67^\circ + \rm cosec52^\circ \cos 38^\circ }}{{\rm cose{c^2}20^\circ - {{\tan }^2}70^\circ }}\)
If (x + y) 3+ 27(x - y) 3= (Ax - 2y)(Bx 2+ Cxy + 13y 2), then the value of A - B - C is:
