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Class 11 · Mathematics

What is the maximum value of the function \(f(x)=\frac{1}{x^2-6x+10}\), where \(x\in\mathbb{R}\)?

Class 11 · Mathematics

What is the range of (f(x)=\sqrt{2x-x^2}+3)?

Class 11 · Mathematics

What is the range of (f(x)=\frac{x^2+2x+5}{x^2+2x+2})?

Class 11 · Mathematics

If the range of f(x) = ax² + 4 is [4, ∞), which condition on a is correct?

Class 11 · Mathematics

If the domain of the function \(f(x)=\frac{1}{x-a}\) is \(\mathbb{R}\setminus\{5\}\), what is the value of \(a\)?

Class 11 · Mathematics

If the domain of \(f(x)=\sqrt{x-a}\) is \([7,\infty)\), what is the value of \(a\)?

Class 11 · Mathematics

What is the domain of the function \(f(x)=\sqrt{\frac{x+3}{5-x}}\)?

Class 11 · Mathematics

What is the domain of (f(x)=\sqrt{\frac{x-1}{x+2}})?

Class 11 · Mathematics

If (f(x)={x}) is the fractional part function and (x\in\mathbb{R}), what is the range?

Class 11 · Mathematics

If (f(x)=\lfloor x\rfloor) and (x\in[1,4)), what is the range of (f)?

Class 11 · Mathematics

What is the range of (f(x)=\frac{1}{\sqrt{16-x^2}})?

Class 11 · Mathematics

What is the simple range of (f(x)=\sqrt{x^2-4x+4})?

Class 11 · Mathematics

If (f(x)=x+\frac{1}{x}) and (x\ne 0), what is the range of (f)?

Class 11 · Mathematics

What is the range of the function \(f(x)=\frac{|x|}{1+|x|}\)?

Class 11 · Mathematics

What is the domain of the function \(f(x)=\frac{1}{|x|-2}\)?

Class 11 · Mathematics

If f(x) = 3/(2 − √x), what is its domain?

Class 11 · Mathematics

What is the domain of the real-valued function \(f(x)=\sqrt{|x|-3}\)?

Class 11 · Mathematics

What is the range of f(x) = (x² − 4)/(x − 2)?

Class 11 · Mathematics

What is the domain of (f(x)=\frac{x^2-4}{x-2})?

Class 11 · Mathematics

What is the domain of (f(x)=\sqrt{x}+\frac{1}{\sqrt{4-x}})?