Part a)
a) The given function is
We let
Interchange x and y.
Solve for y;
Part b) The range of f(x) refers to y-values for which f(x) exists.
The range of f(x) is
This is because the function is within y=-3 and y=3.
c) The range of
is
The domain is -3≤x≤3
This is because the domain and range of a function and its inverse swaps.
Part d) The graph is shown in the attachment.
Answer:
m∠1=39°, m∠3=51°
Step-by-step explanation:
Angle 3 = 180-(39+90)
180-129=51
Angle 1 = 39 b/c of the corresponding angles.
The population of the town from 2000 to 2020 is modeled by the equation:
Where t is the number of years since 2000.
We have to find the expected population of the town in 2002. The number of years from 2000 to 2002 are 2, so we have to find p(2). Replacing t by 2 in the above equation, we get:
So, according to the model, the population of town in 2002 is predicted to be 11,025.
<span>if v belongs to V, then we can find scalars a1,a2,...,an, such that
v=a1*v1+a2*v2+...+an*vn,
L1(v)=L1(a1*v1+a2*v2+...+an*vn)
=a1*L1(v1)+a2*L1(v2)+...+an*L1(vn)
=a1*L2(v1)+a2*L2(v2)+...+an*L2(vn)
=L2(a1*v1+a2*v2+...+an*vn)
=L2(v)</span>
2x^2 = 2
so x needs to equal 1 since 2*1 = 2
