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Algebra

Class 12 Mathematics के इस tag से जुड़े questions।

Class 12 · Mathematics

If \(\{2,a\}=\{5,2\}\), what is the value of \(a\)?

Class 12 · Mathematics

On (\mathbb{R}), (a*b=a+b+ab). What is the solution of (x*2=8)?

Class 12 · Mathematics

On real numbers, (a*b=a+b+ab) is defined. What is the simplified form of (a*(b*c))?

Class 12 · Mathematics

On real numbers, (a*b=a+b+ab) is defined. If (a*b=0), how will (b) be written in terms of (a), where (a\neq -1)?

Class 12 · Mathematics

On (\mathbb{R}), (a*b=a+b-3). What is the simplified form of (a*(b*c))?

Class 12 · Mathematics

If (a*b=a+b-ab), then (1-a*b) is equal to what?

Class 12 · Mathematics

If (a*b=2a+3b), what is the simplified form of (a*(b*c))?

Class 12 · Mathematics

On real numbers, (a*b=a+b+2ab) is defined. What is the inverse of (1)?

Class 12 · Mathematics

On real numbers, (a*b=a+b+ab). Is this operation commutative?

Class 12 · Mathematics

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

Class 12 · Mathematics

If (f(x)=|x|) and (g(x)=x-1), what is ((f\circ g)(x))?

Class 12 · Mathematics

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

Class 12 · Mathematics

If (f:\mathbb{R}\setminus{2}\to\mathbb{R}\setminus{3}) is given by (f(x)=\frac{3x+1}{x-2}), what is (f^{-1}(x))?

Class 12 · Mathematics

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

Class 12 · Mathematics

If (f(x)=\frac{x+2}{x-2}), what is (f^{-1}(x))?

Class 12 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^2-2x), what is the value of (f(1+h)-f(1))?

Class 12 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}) and (g:\mathbb{R}\to\mathbb{R}) are given by (f(x)=3x+1) and (g(x)=x^2), what is ((g\circ f)(x))?

Class 12 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=2x^3-1), what is (f^{-1}(x))?

Class 12 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}) and (g:\mathbb{R}\to\mathbb{R}) are given by (f(x)=x+3), (g(x)=x^2), what is ((g\circ f)(x))?

Class 12 · Mathematics

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