F(x) = 4x - 1
All you have to do is substitute the values in the domain for x in the function.
f(-1) = 4(-1) - 1
f(-1) = -4 - 1
f(-1) = -5
f(0) = 4(0) - 1
f(0) = -1
f(1) = 4(1) - 1
f(1) = 4 - 1
f(1) = 3
And so on.
Answer:
The population in the study are those male university graduates who have a white collar job.
Step-by-step explanation:
This is a common statistics practice, when we want to study something from a population, we find a sample of this population.
For example:
I want to estimate the proportion of New York state residents who are Buffalo Bills fans. So i ask, lets say, 1000 randomly selected New York state residents wheter they are Buffalo Bills fans, and expand this to the entire population of New York State residents.
In this problem, we have that:
Sample of 1172 male university graduates who have a white collar job and asks whether or not they had received a raise atnbsp work nbspduring the past 4 months.
What is the population in the study?
The sample is of male university graduates who have a white collar job.
So the population in the study are those male university graduates who have a white collar job.
-2x+9. just distribute a -1
Given:
The function is:
To find:
The inverse of the given function, then draw the graphs of function and its inverse.
Solution:
We have,
Step 1: Substitute 
.
Step 2: Interchange x and y.
Step 3: Isolate variable y.
Step 4: Substitute 
.
Hence, the inverse of the given function is and the graphs of these functions are shown below.
<span>So you have composed two functions,
</span><span>h(x)=sin(x) and g(x)=arctan(x)</span>
<span>→f=h∘g</span><span>
meaning
</span><span>f(x)=h(g(x))</span>
<span>g:R→<span>[<span>−1;1</span>]</span></span>
<span>h:R→[−<span>π2</span>;<span>π2</span>]</span><span>
And since
</span><span>[−1;1]∈R→f is defined ∀x∈R</span><span>
And since arctan(x) is strictly increasing and continuous in [-1;1] ,
</span><span>h(g(]−∞;∞[))=h([−1;1])=[arctan(−1);arctan(1)]</span><span>
Meaning
</span><span>f:R→[arctan(−1);arctan(1)]=[−<span>π4</span>;<span>π4</span>]</span><span>
so there's your domain</span>
