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Class 11 · Mathematics

If (f(x)=x^2-1) and (g(x)=\sqrt{x-2}), what is the real domain of ((f+g)(x))?

Class 11 · Mathematics

For real functions (f(x)=\sqrt{x-1}) and (g(x)=\frac{1}{x-3}), what is the domain of the product (fg)?

Class 11 · Mathematics

If (f(x)=2x-3) and (g(x)=x^2+1), what is the value of (h(2)) for (h(x)=2f(x)-g(x))?

Class 11 · Mathematics

If \(f(x)=x^2-2x+1\) and \(g(x)=1-x\), what is the simplified form of \(\left(\frac{f}{g}\right)(x)\), where (x\ne 1)?

Class 11 · Mathematics

If f(x) = 2x + 1 and g(x) = 3x − 4, what is (fg)(−1)?

Class 11 · Mathematics

If f(x) = √(4 − x) and g(x) = 1/x, what is the domain of (f + g)(x)?

Class 11 · Mathematics

If \(f(x)=x^2+x\) and \(g(x)=x^2-x\), what is the value of \((f+g)(x)\)?

Class 11 · Mathematics

If (f(x)=\frac{x-2}{x+3}) and (g(x)=\frac{x+3}{x-2}), what is the domain of ((fg)(x))?

Class 11 · Mathematics

If \(f(x)=x^2+2\) and \(g(x)=2x^2-1\), what is \((g-f)(x)\)?

Class 11 · Mathematics

If f(x) = x + 1 and g(x) = 1/(x + 1), which statement about (fg)(x) is correct?

Class 11 · Mathematics

If \(f(x)=x^2-5x+6\) and \(g(x)=x-2\), what is \(\left(\frac{f}{g}\right)(x)\) for \(x\ne2\)?

Class 11 · Mathematics

If \(f(x)=2x-3\) and \(g(x)=x^2+1\), what is the value of \((3f+g)(x)\)?

Class 11 · Mathematics

If f(x)=x² and g(x)=x+1, what is (f+g)(a)?

Class 11 · Mathematics

If \(f(x)=\frac{1}{\sqrt{x-1}}\) and \(g(x)=x^2\), what is the domain of \((f+g)(x)\)?

Class 11 · Mathematics

If \(f(x)=x^2+6x+9\) and \(g(x)=x+3\), what is the value of \(\left(\frac{f}{g}\right)(0)\)? Here, \(x\ne -3\).

Class 11 · Mathematics

If \(f(x)=2x+5\) and \(g(x)=5-2x\), what is the value of \((f+g)(x)\)?

Class 11 · Mathematics

If (f(x)=x^3) and (g(x)=x), in which of the following forms can ((f-g)(x)) be written?

Class 11 · Mathematics

If (f(x)=\frac{x+2}{x-3}) and (g(x)=x-3), what is the simplified form and domain of ((fg)(x))?

Class 11 · Mathematics

If f(x)=3x-2 and g(x)=x+4, what is the value of (fg)(1)?

Class 11 · Mathematics

For a quotient function \(h(x)=\frac{p(x)}{q(x)}\), which condition is necessary for a value of \(x\) to belong to its domain?