Question

The function f(x) = 2x2 + 3 represents the rate of a boat traveling with the current in miles per hour. The function g(x) = x + 2 represents the time the boat traveled in hours. Solve (f • g)(2), and interpret the answer.

Answer 1

$\boxed{(f\cdot g)(2)=44}$

Explanation:

Here we have two functions, namely:

$f(x)=2x^2+3 \\ \\ \\ g(x)=x+2$

So here we need to perform the product of two functions and evaluate this new function for $x=2$. So:

$f(x)=2x^2+3 \\ \\ g(x)=x+2 \\ \\ \\ (f\cdot g)(x)=(2x^2+3)(x+2) \\ \\ (f\cdot g)(2)=(2\times 2^2+3)(2+2) \\ \\ \boxed{(f\cdot g)(2)=44}$

Learn more:

Rigid transformations: brainly.com/question/13653482

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