<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>
Answer:
Step-by-step explanation:
<u>Let the cost of a sheet be s and cost of a blanket be b</u>
<u>From the first equation we get:</u>
<u>Substitute in the second equation</u>
- s + 4*(41 - 2s) = 80
- s + 164 - 8s = 80
- 7s = 84
- s = 12
<u>Then</u>
Answer:
-3x+36
Step-by-step explanation:
the slope is -3, so just add an x.
the y intercept is 36
put them a together and you get -3x+36
Answer:
Student B did the problem corectly
Step-by-step explanation:
Student a did 3*4 while student B did 3*3*3*3 which would equal 27
what do you mean? what is the measure of f? there isnt a problem or graph that i can see to go off of
