Which pair of functions are inverse of eachother ?
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
This problem can be modeled by a linear function, where we have two points (37°C, 200) and (32°C, 150).
Notice that the temperature is the independent variable, because the heartbeat of the cat won't change the temperature, it works in the opposite way.
First, let's find the constant ratio of change.
This means the hearbeat of the car changes 10 pulses per minute each 1 celsius degree.
Now, we use the point slope formula to find the equation
Theerefore, the function that represents this situation is
Where represents temperature and
represents hearbeats.
We know that
if the y terms is squared so it opens left or right
Is a Horizontal Parabola, the equation is of the form
(y-k)²=4(p)(x-h)
vertex is (h,k)
and
p is distance from focus to vertex, also distance from vertex to directrix
if p>0, then it opens to the right and directrix is to the left of vertex
if p<0, then it opens to the left and directrix is to the right of vertex
so
(y-1)²=4(4)(x-(-3))
vertex is (-3,1)
4>0 so directrix is to left of vertex
left is in x direction
-3-4=-7
directrix is x=-7
the answer is
x=-7
see the attached figure
if the y terms is squared so it opens left or right
Is a Horizontal Parabola, the equation is of the form
(y-k)²=4(p)(x-h)
vertex is (h,k)
and
p is distance from focus to vertex, also distance from vertex to directrix
if p>0, then it opens to the right and directrix is to the left of vertex
if p<0, then it opens to the left and directrix is to the right of vertex
so
(y-1)²=4(4)(x-(-3))
vertex is (-3,1)
4>0 so directrix is to left of vertex
left is in x direction
-3-4=-7
directrix is x=-7
the answer is
x=-7
see the attached figure