F(x)=3x/2 for 0≤x≤2
<span>.....=6 - 3x/2 for 2<x≤4 </span>
<span>g(x) = -x/4 + 1 for 0≤x≤4 and g'(x)=-1/4 </span>
<span>so h(x)= f(g(x)) = (3/2)(-¼x+1)=-3x/8 + 3/2 for 0≤x≤2 </span>
<span>for x=1, h'(x)=-3/8 so h'(1)=-3/8 </span>
<span>When x=2, g(2)=1/2 so h'(2)=g'(2)f '(1/2)= -(1/4)(3/2)=-3/8 </span>
<span>When x=3, h(x)=6 - (3/2)(1 - x/4) = 9/2 +3x/8 </span>
<span>h'(x)=3/8 so h'(3) = 3/8</span>
For 1/4 city, he takes = 200 steps
for a city, it is = 200 * 4 = 800
Now, for 4 1/2 = 9/2 city, he would take = 800 * 9/2 = 3600
In short, Your Answer would be 3600 steps
Hope this helps!
Answer:
Final answer is x= -0.76 and y=2.57.
Step-by-step explanation:
We have been given two functions 
and
Now question says to graph the given functions and
using some graphing tool. Then zoom as per requirement so that you can see the intersection point and read that point from graph which should be correct up to hundredth decimal place.
I'm using Desmos graphing calculator. Just type both functions then it will create graph for you. Click on intersection point as you can see in the attached picture. They intersect at point (-0.755,2.57).
Hence final answer is x=-0.76 and y=2.57.
I think it’s d hope this helps
