The value of \(\sqrt [ 4 ]{ { (-2) }^{ 4 } } =\) _______.

Choose the correct statement.

If \(f(x)={1-x\over 1+x}, x≠0\) then \(f[f(x)]+f\left[f\left(1\over x\right)\right]\)

Let f and g be two odd functions then the function of f o g is ___________

The range of the function is \(f(x)=\sqrt{3x^2-4x+5}\) is ___________

The domain of the function \(f(x)=\sqrt{4-\sqrt{4-\sqrt{4-x^2}}}\)

For the below figure of ax² + bx + c = 0

The value of log_a^x + log_1/a^x is ___________

If (x + 1) and (x - 3) are factors of x³ - 4x² + x + 6 then other linear factor is ___________

The value of 2 log₁₀ 3 + log₁₀ 16 - 2 log₁₀ \(6\over 5\) is ___________

Logarithm of 144 to the base 2\(\sqrt{3}\) is ___________

The zero of the polynomial function f(x) = 9x²-16 are ____________

Let S = (1, 2, 3), R be (1, 1) (1, 2) (2, 2) (1, 3) (3, 1), what are the elements to-be included to make R reflexive ___________

If \(f:R\rightarrow R\) is defined by \(f(x)=2x-3\) __________

The factors of the polynomial \(6\sqrt { { 3x }^{ 2 } } -47x+5\sqrt { 3 } \) are ___________

The value of log₁₀⁸ + log₁₀⁵- log₁₀⁴ = ___________

\(\sqrt [ 4 ]{ 11 } \) is equal to ___________

If x is a real number and |x| < 5 then ___________

Let f : R➝R be given by f(x) = x + \(\sqrt { { x }^{ 2 } } \) is __________

If f : R➝R is given by f(x) = 3x - 5, then f^-1(x) is __________

Which of the following functions from z to itself are bijections (one-one and onto)?

Let R be the relation over the set of all straight lines in a plane such that l₁Rl₂ ⇔ l₁丄l₂ . Then  R is __________

If A = {1, 2, 3}, B = {1, 4, 6, 9} and R is a relation from A to B defined by "x is greater than y". The range of R is __________

The shaded region in the adjoining diagram represents.

Given A = {5,6,7,8}. Which one of the following is incorrect?