You can see graph of the function
in the first picture. Now to find its inverse, we are going to switch
and
in our function, and then solve for
Remember that every time that you take a square root, you will have tow results: one positive and one negative. Therefore, our function
will have tow inverses:
and
.
In the first picture you can see the graph of the original function; in the second one the graphs of its inverses, and in the third one all the graphs together. Notice that our original function is a quadratic function, and quadratic functions don't have inverse functions unless their domains are restricted.
Completing the square gives
At the point on the graph along the axis of symmetry, the squared term vanishes, so that when , we have . So
Answer:
1.25 miles
Step-by-step explanation:
Lisa takes a night walk after dinner every night.
She walks 1/4 mile in 2 minutes.
Distance = 1/4 mile
Time, t = 2 minutes
For covering 1 mile,
1/4 mile = 2 minutes
In 1 minute she will cover
For 10 minutes, she will cover
So, she will cover 1.25 miles.
Answer:
The average cost of belt is decreasing at a rate 0.085 dollars per belt when 180 belts have been produced.
Step-by-step explanation:
We are given the following in the question:
Cost function:
where x is the number of belts.
Average cost =
Rate of change of average function:
Change in average cost when 180 belts have been produced
Thus, the average cost of belt is decreasing at a rate 0.085 dollars per belt when 180 belts have been produced.
Answer:
Slope is -2
Step-by-step explanation:
( -3, 7) and ( -2, 5)
Slope:
m=(y2-y1)/(x2-x1)
m=(5-7)/(-2+3)
m = (-2)/1
m = -2