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]
