Is the inverse of f(x)=x^2 is also a function true or false
1 answer:
Solution:
The given statement is False.
Explanation:
We have been given the equation
In order to check whether the inverse is a function or not, we can perform horizontal line test.
Horizontal line test:- If a horizontal line intersects the graph at more than one point then the inverse is not a function. If it intersects at exactly one point then the inverse is a function.
The given equation represents a upward parabola shown in the attached image. The vertex of the parabola is at origin.
Now, we draw a horizontal line and check the number of intersection point of the line and the parabola. We can see that the horizontal line intersects the parabola at two points.
Hence, from horizontal line test, the inverse is a not a function.
Therefore, the given statement is False.
You might be interested in
Answer:
3
Step-by-step explanation:
a = 3 & b =4
Answer:
22.9m
Step-by-step explanation:
Using Pythagorean theorem, we can get two equations using the angles.
From Point A:
∠A = 20°
AB = 20m
From Point B:
∠B = 29°
BD = x
What we are looking for is the opposite side of each right triangle, each person makes because we have one adjacent side. We also know that both opposite sides will be equal.
So we use this formula for both point of views:
Where:
Opposite = height of the building
Adjacent = distance from the building
We are looking for the opposite side so we can tweak our formula to get an equation for the height
Using our given, we can solve for the distance of point B to D:
The distance of point B to D is 38.2572 m.
Now that we know the distance of BD we can solve for the height of the building using only the given from point B.
But this is only the height from the line of sight. To get the height of the building from the ground, we just add the height of the viewer, which is 1.7m.
21.21m + 1.7m = 22.91m
The closest answer is: 22.91 m