The given function is
f(x)= 0.2 x²
Since f(x) will be defined for all real values of x.
So, Domain of f(x) will be ( x| x is a real number.)→This is set builder notation.
Finding the inverse of f(x):
y = 0.2 x²
→ x²= 5 y
→x =
→ → Inverse of f(x)
Replacing x by y and y by x,we get inverse of the given function
y =
→ →Domain x ≥ 0, x∈[0,∞]
Graph of function and its inverse are shown below.
Answer: The quotient is (x-2).
Step-by-step explanation:
Since we have given that

Now, we have to find the quotient of the above expression.
So, here we go:

Now, we will divide the above simplest form with g(x):

Hence, the quotient is (x-2).
The angle of rotation of triangle ABC to A'B'C is 105°
<h3>How to illustrate the information?</h3>
It should be noted that the rotation from ABC to A'B'C is in a clockwise direction.
Point B is also on the x axis and point B' is in the second quadrant.
In this case, the angle that depicts the second quadrant is 105°.
In conclusion, the correct option is D.
The complete question is:
Triangle A’ B’ C’ is the image of A B C under a rotation about the origin, (0,0)
Determine the angle of rotation
A. -105 degrees
B. -75 degrees
C. 75 degrees
D. 105 degrees
Learn more about triangles on:
brainly.com/question/11485921
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