Answer:
Step-by-step explanation:
Zeros α = -3 and β = -4
Quadratic equation: x² - (α + β)x + αβ = 0
x² - (-3-4)x + (-3)*(-4) = 0
x² - (-7)x + 12 =0
x² + 7x + 12 = 0
<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:
4
Step-by-step explanation:
20÷4=5 so 16÷4=4 :))
Hope that helps.
Answer:
B
Step-by-step explanation:
Hope this helps plus happy new year!
