Select the correct answer. Given: `Delta`ABC, where AB = BC Prove: `"m"/_BAC = "m"/_BCA` Statement Reason 1. Let `Delta`ABC be a
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For a given function f(x) we define the domain restrictions as values of x that we can not use in our function. Also, for a function f(x) we define the inverse g(x) as a function such that:
g(f(x)) = x = f(g(x))
<u>The restriction is:</u>
x ≠ 4
<u>The inverse is:</u>
Here our function is:
We know that we can not divide by zero, so the only restriction in this function will be the one that makes the denominator equal to zero.
(x - 4)^2 = 0
x - 4 = 0
x = 4
So the only value of x that we need to remove from the domain is x = 4.
To find the inverse we try with the general form:
Evaluating this in our function we get:
Remember that the thing above must be equal to x, so we get:
From the two above equations we find:
b = 11
a = 4
Thus the inverse equation is:
If you want to learn more, you can read:
Answer:
.
Step-by-step explanation:
Given information:
Period = 24 hr
Maximum = 16 at t=16 hr.
Minimum = 10 at t=4 hr.
The general sin function is
.... (1)
where, |A| is altitude, is period, C is phase shift and D is midline.
Period is 24 hr.
Altitude is
The function is minimum at t=4 and maximum at t=16,phase shift is
Substitute these values in equation (1).
Therefore, the required function is .