Question

The number of rows in an auditorium can be represented by the function f(x) = 80x. the number of seats in each row can be represented by the function g(x) = x 7. which function represents the total number of seats, h(x) = f(x)g(x)? h(x) = 136x h(x) = 80x2 560x h(x) = 80x 560 h(x) = 80x2 560

Answer 1

Applying multiplication of functions, the total number of seats in the auditorium is given by:

h(x) = 80x² + 560x.

How polynomial functions are multiplied?

They are multiplied applying the distributive property, that is, all the terms are multiplied and then the common terms are added.

In this problem, the functions are given as follows:

• f(x) = 80x.

• g(x) = x + 7.

Then the multiplication is:

h(x) = f(x)g(x) = 80x(x + 7) = 80x² + 560x.

More can be learned about multiplication of functions at brainly.com/question/13136492

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