Can you ask me the question because your file is not showing up for me,
Given:
The function are
To find:
The value of 
.
Solution:
We have,
We need to find the value of .
![[\because (f\circ g)(x)=f(g(x))]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%28f%5Ccirc%20g%29%28x%29%3Df%28g%28x%29%29%5D)
![[\because g(x)=\sqrt{x}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20g%28x%29%3D%5Csqrt%7Bx%7D%5D)
![[\because f(x)=x^2-1]](https://tex.z-dn.net/?f=%5B%5Cbecause%20f%28x%29%3Dx%5E2-1%5D)
The value of is 0.
Therefore, the correct option is A.
Answer:
2.5
Step-by-step explanation:
50 x $0.05 = 2.5
Direct Proportion functions look like this:
y=kx
'k' is the constant of proportionality and in this case its 7.5 or 15/2.
--------------------------------------------
When x=1, y=7.5
When x=2, y=15
When x=3, y=22.5
Therefore y is directly proportional to x.
--------------------------------------
DIRECT PROPORTION EXPLAINED:
Say a football costs £7.50. If you buy one football you'll have to pay out £7.50, but if you you buy two footballs you'll have to pay out £15.00. Therefore the cost of the football(s) is directly proportional to the amount of footballs you buy. C=cost, f=football(s) and C<span>∝f, therefore C=kf, but as k=7.5, C=7.5f.
INVERSE PROPORTION EXPLAINED:
If it were to take 8 hours for one bricklayer to set up a wall, how long would it take for two bricklayers to set up a wall? The answer in this case would be 4 hours.
T=time to set up a wall
b=bricklayer(s)
Therefore T</span><span>∝1/b, and T=k/b. In this case k=8 so T=8/b.
When b=1, T=8.
When b=2, T=4.
We'd say that the time it would take for bricklayers to set up a wall would be inversely proportional to the amount of bricklayers available.</span>
