Answer:
third option: (x+3) / √x+2
Step-by-step explanation:
f(x) = √x+2 g(x) = (x² + 1) / x
(g·f)(x) = g(f(x)) = ((√x+2)² + 1) / √x+2
==> (x+2+1) / √x+2
==> (x+3) / √x+2
Answer:the present age of the father is 45 years
Step-by-step explanation:
Let x represent the present age of the father.
Let y represent the present age of the son.
Let z represent the age of the daughter.
A father is 3 times as old as his son. This means that
x = 3y
his daughter is 3 years younger than the son. It means that
z = y - 3
The sum of their ages 3 years ago was 63. This means that
x - 3 + y - 3 + z - 3 = 63
x + y + z - 9 = 63 - - - - - - - - - - 1
Substituting x = 3y and z = y - 3 into equation 1, it becomes
3y + y + y - 3 - 9 = 63
5y - 12 = 63
5y = 63 + 12 = 75
y = 75/5 = 15
x = 3y = 3 × 15
x = 45
z = y - 3 = 15 - 3
z = 12
Answer:
The width of the two soccer field must be given by
.
Assuming two Integers that are solutions of both inequalities are 45 and 60.
Step-by-step explanation:
Let the width of the youth soccer field be 'w'.
Now Given:
the width of the youth soccer field must be at least 45 m.
So we can say that;

Also Given:
the width of the youth soccer field must not exceed 60 m.
So we can say that;

Hence the width of the two soccer field must be given by
.
So we can say that;
Any Integer lying between integers 45 and 60 can be considered as the width of the youth soccer field.
So let us Assume two Integers that are solutions of both inequalities are 45 and 60.
Answer:
80/100
Step-by-step explanation:
this is simplified ones
8/10
4/5