The domain for f(x) and g(x) is the set of all real numbers. Let f(x) = 2x-3 and g(x) = 3x +8 Find f(x)g(x). Please show work

Answer:  The value of f(x)g(x) is  [tex]6 x^{2}+7 x-24[/tex]Solution: The domain for f(x) and g(x) is the set of all real numbers From question give that f(x) = 2x – 3   -----     (1) g(x) = 3x + 8  -------      (2) We need to evaluate f(x)g(x), so we need to multiply eqn 1 and eqn 2 f(x)g(x) = (2x – 3)( 3x + 8)              [Using equation (1) and (2)]Open the bracket and multiply the terms in above equation,[tex]\begin{array}{l}{\mathrm{f}(\mathrm{x}) \mathrm{g}(\mathrm{x})=6 \mathrm{x}^{2}+16 \mathrm{x}-9 \mathrm{x}-24} \\ {\mathrm{f}(\mathrm{x}) \mathrm{g}(\mathrm{x})=6 \mathrm{x}^{2}+7 \mathrm{x}-24}\end{array}[/tex]Hence the value of f(x)g(x) is  [tex]6 x^{2}+7 x-24[/tex]