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Class 11 · Mathematics

If \\(f(x)=x^5\\) and \\(g(x)=x^2\\), what is the product function \\((fg)(x)\\)?

Class 11 · Mathematics

If \(f(x)=3x+8\) and \(g(x)=3x-8\), what is the value of \((f-g)(x)\)?

Class 11 · Mathematics

If f(x)=2x-11 and g(x)=11-2x, what is the value of (f+g)(x)?

Class 11 · Mathematics

If \(f(x)=12x-6\) and \(g(x)=6\), what is the value of \(\left(\frac{f}{g}\right)(x)\)?

Class 11 · Mathematics

If \(f(x)=x-5\) and \(g(x)=3\), what is the value of \((fg)(x)\)?

Class 11 · Mathematics

If f(x)=4x^2-3 and g(x)=x^2+8, what is the value of (f-g)(x)?

Class 11 · Mathematics

If \(f(x)=x^2-4\) and \(g(x)=x^2+4\), what is \((f+g)(x)\)?

Class 11 · Mathematics

If \\(f(x)=5x\\) and \\(g(x)=x+1\\), what is the value of the product of the functions, \\( (fg)(3) \\)?

Class 11 · Mathematics

If f(x)=x-1 and g(x)=x+10, what is the value of (f+g)(1)?

Class 11 · Mathematics

If \(f(x)=x^2-4x+4\) and \(g(x)=x-2\), what is \(\left(\frac{f}{g}\right)(x)\) for \(x\ne 2\)?

Class 11 · Mathematics

If \(f(x)=x^2-25\) and \(g(x)=x+5\), what is the simplified form of \(\left(\frac{f}{g}\right)(x)\), where \(x\ne -5\)?

Class 11 · Mathematics

If \(f(x)=8\) and \(g(x)=x^2-3x\), what is \((f-g)(x)\)?

Class 11 · Mathematics

If \(f(x)=4x+11\) and \(g(x)=x-6\), what is the value of \((f+g)(x)\)?

Class 11 · Mathematics

If \(f(x)=x-6\) and \(g(x)=x\), what is the value of the product function \((fg)(x)=f(x)g(x)\)?

Class 11 · Mathematics

If \(f(x)=5x^2+2\) and \(g(x)=2x^2-7\), what is \((f-g)(x)\)?

Class 11 · Mathematics

If f(x)=2x^2+3 and g(x)=x+5, what is the value of (f+g)(1)?

Class 11 · Mathematics

If \(f(x)=x+4\) and \(g(x)=x-4\), which algebraic identity is useful for simplifying \((fg)(x)=f(x)g(x)\)?

Class 11 · Mathematics

If \(f(x)=x+12\) and \(g(x)=x+3\), what is \(\left(\frac{f}{g}\right)(3)\)?

Class 11 · Mathematics

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

Class 11 · Mathematics

If \(f(x)=3x^2-2x+5\), which of the following functions is the additive inverse of \(f\), that is, satisfies \((f+g)(x)=0\) for every real \(x\)?