Suppose f, g, h, and j are functions such that: f(r) represents the circumference (in cm) of a circle whose radius is r cm. g(c) represents the radius (in cm) of a circle whose circumference is c cm . h(r) represents the area (in cm2) of a circle whose radius is r cm. j(a) represents the radius (in cm) of a circle whose area is a cm^2.
a. use function notation to represent the area of a circle whose circumference is 140 cm.
b. use function notation to represent the circumference of a circle whose area is 5.18 cm^2.

Part a)

Part b)

Step-by-step explanation:

we know that

The circumference of a circle is

Solve for r

so

---> represents the circumference (in cm) of a circle whose radius is r cm

---> represents the radius (in cm) of a circle whose circumference is C cm

The area of a circle is

solve for r

so

---->represents the area (in cm2) of a circle whose radius is r cm

---> represents the radius (in cm) of a circle whose area is A cm^2.

Part a. Use function notation to represent the area of a circle whose circumference is 140 cm

substitute the value

C=140 cm

Part b. Use function notation to represent the circumference of a circle whose area is 5.18 cm^2.

substitute the value

A=5.18 cm^2

function 2 has a greater rate of change than function 1

function 2 has a greater y-intercept than function 1

step-by-step explanation: