[tex]\boxed{(f\cdot g)(2)=44}[/tex]
Explanation:
Here we have two functions, namely:
[tex]f(x)=2x^2+3 \\ \\ \\ g(x)=x+2[/tex]
So here we need to perform the product of two functions and evaluate this new function for [tex]x=2[/tex]. So:
[tex]f(x)=2x^2+3 \\ \\ g(x)=x+2 \\ \\ \\ (f\cdot g)(x)=(2x^2+3)(x+2) \\ \\ (f\cdot g)(2)=(2\times 2^2+3)(2+2) \\ \\ \boxed{(f\cdot g)(2)=44}[/tex]
Learn more:
Rigid transformations: https://brainly.com/question/13653482
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