As you may already be familiar, these functions f(x) and g(x) are piecewise. They consist of multiple functions with different domains.
1. For #1, the given input is f(0). Since 0≤1, you should use the first equation to solve. f(0)=3(0)-1 ➞ f(0)=-1
2. Continue to evaluate the given input for the domains given. 1≤1, therefore f(1)=3(1)-1➞f(1)=2
3. 5>1, therefore f(5)=1-2(5)➞f(5)=-9
4. -4≤1; f(-4)=3(-4)-1➞f(-4)=-13
5. -3<0<1; g(0)=2
6. -3≤-3; g(-3)=3(-3)-1➞g(-3)=-10
7. 1≥1; g(1)=-3(1)➞g(1)=-3
8. 3≥1; g(3)=-3(3)➞g(3)=-9
9. -5≤-3; g(-5)=3(-5)-1➞g(-5)=-16
Hope this helps! Good luck!
Answer:
8:25
Step-by-step explanation:
Theres 8 biography books and 25 books in total. 8:25
:D
Answer:
cosine rule - cos = 
Step-by-step explanation:
Here the ladder is acting as hypotenuse and base as adjacent.
Formula: cosθ = 
Working on x and y first, we get:
<span><span><span>x6 / </span><span>x3</span></span>= <span>x3</span></span> and
<span><span><span>y6/ </span><span>y12 </span></span>= 1/ <span>y6</span></span> so, we have:<span><span> 2 <span>x3 / </span></span><span>y6
Entering values in original equation, we get:
</span></span><span>(2 <span>x3/ </span><span>y6</span><span>)^2</span></span>=4 x^6 / y^12
