For functions \(f:X - > {\bf{R}}\) and \(g:X - > {\bf{R}}\), we have

*Addition*

\(\left( {f + g} \right)\left( x \right) = f\left( x \right) + g\left( x \right),x \in X\)*Substraction*

\(\left( {f - g} \right)\left( x \right) = f\left( x \right)-g\left( x \right),x \in X\)*Multiplication*

\(\left( {f.g} \right)\left( x \right) = f\left( x \right).g\left( x \right),x \in X\)*Multiplication by real number*\(\left( {kf} \right)\left( x \right) = kf\left( x \right),x \in X\), where \(k\) is a real number.*Division*

\(\frac{f}{g}\left( x \right) = \frac{{f(x)}}{{g(x)}}\)

\(x \in X\) and \(g\left( x \right) \ne 0\)

- Cartesian Products
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- What is relations?
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- What is Function
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- Domain of Function
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- Range of Function
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- Identity Function
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- Constant Function
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- Linear Function
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- Modules Function
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- Greatest Integer Function
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- Polynomial Function
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- Algebra of Real Function

Class 11 Maths Class 11 Physics