<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>
2x + 5(-3x-10) = - 154
2x -15x -50 = -154
-13x = -104
13x = 104
x = 104/13
X = 8
It’s 9b it’s just 4+5 with the b
Answer:
Step-by-step explanation:
-7x-3=2-7x-5
cancel equal terms
-3=2-5
calculate the difference
-3= -3
This statement is true.
Answer: $44.55
Step-by-step explanation:
$45 times the 10% sales tax equals $49.50
$49.50 minus the 10% discount equals $44.55