Question

The perimeter, in meters, of a square whose side is s me-

ters is given by P = 4s.
(a) Write this formula using function notation, where f
is the name of the function.
(b) Evaluate f(s + 4) and interpret its meaning.
(e) Evaluate f(s) + 4 and interpret its meaning.
(d) What are the units of f-¹(6)?

Answer 1

The perimeter formula of a square in function notation, evaluating expressions, and finding the units of f-¹(6)

Step-by-step explanation:

(a) The formula for the perimeter of a square can be written using function notation as f(s) = 4s, where f is the name of the function.

(b) To evaluate f(s + 4), we substitute s + 4 into the function: f(s + 4) = 4(s + 4) = 4s + 16. This means that the perimeter of a square with a side length of s + 4 is 4s + 16.

(c) To evaluate f(s) + 4, we substitute s into the function and add 4: f(s) + 4 = 4s + 4. This means that the perimeter of a square with a side length of s plus 4 meters is 4s + 4.

(d) The units of f-¹(6) represent the side length of a square whose perimeter is 6 meters. Since the formula is f(s) = 4s, to find the side length, we divide 6 by 4: f-¹(6) = 6/4 = 1.5 meters.

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