The length of a rectangle is 5 in. more than 3 times its width. the quadratic function f(x) = x(3x + 5) represents the area of the rectangle in terms of its width. what is a reasonable domain of the function?

Domain of function is or (0, )

Step-by-step explanation:

Assuming x as width of rectangle

so, Width = x

Question says, Length is 5in more than 3 times id width.

we write as Length = 3x+5

Therefore, Area of rectangle will be given function f(x)

f(x) = x(3x+5)

Here, It is important to notice that width and length of rectangle will always be positive values and also, area of rectangle is always positive.

we can write in equation as

Thus, Domain of function is or (0, )

45

step-by-step explanation: