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Suppose that the functions s and t are defined for all real numbers x as follows.
s(x) = 2x+4
t(x) = 5x
Write the expressions for (s+t)(x) and (s-t)(x) and evaluate (s×t)(x)



Answer :

[tex]s(x)=2x+4;\ D_s=\mathbb{R}\\\\t(x)=5x;\ D_t=\mathbb{R}\\\\D_s=D_t\\\\(s+t)(x)=s(x)+t(x)=2x+4+5x=7x+4\\\\(s-t)(x)=s(x)-t(x)=2x+4-5x=-3x+4\\\\(s\times t)(x)=(2x+4)\times5x=10x^2+20x[/tex]

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