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.
Factor:
2sin^2x-sinx = 0
sinx(2sinx - 1) = 0
Therefore the solutions are when:
sin x = 0
And
sinx = 1/2
So sinx = 0
is true when x = 0 and pi and all the angles coterminal with these points. Thus, the answer is x = pi*n, (where n is some integer)
sinx = 1/2
is true when x = pi/6 and 5pi/6 and the angles coterminal with these points.
Thus, the answer is x = pi/6 + 2pi*n (where n is some integer)
and x = 5pi/6 + 2pi*n (where n is some integer)
Answer:

Step-by-step explanation:


Therefore ,

Answer:
56
Step-by-step explanation:
This is just here for the 20 character limit but the answer is in the picture.