Answer: the fourth option; all the real values except x = 7 and the x for which f(x) = - 3
Explanation:
1) the composed function (g ° f) )x= is the application of the function g (x) to the function f(x), this is you first apply f(x) and then apply g(x): g [f(x) ]
2) So the domain is the set of values for which f(x) is defined and then those values of f(x) for which g(x) is defined.
3) The values of x for which f(x) is defined is all the real values except x = 7.
4) The values of f(x) for which g(x) is defined are all the values of f(x) except f(x) = - 3.
5) So, the domain of the composed function is all the real values except x = 7 and the x for which f(x) = - 3
6) Important remark: notice that there is an error in the statements listed, because saying that the domain is all the real values except x ≠ 7 and f(x) ≠ - 3 means that tha domain is only x = 7 and f(x) = - 3, when what they meant was that the composed function is not defined for x = 7 and f(x) = - 3 (this is a bad use of double negation which is a good expample of why double negation must be avoided).
Answer:
14.14
Step-by-step explanation:
Recall :
The sides of a square are always equal ;
Since all sides are equal, the the diagonal of the square will be :
XZ² = XY² + WX²
XZ² = 20² + 20²
XZ² = 400 + 400
XZ² = 800
XZ = √800
XZ = 28.28
WY = XZ
WV = 1/2 WY
WV = 1/2 * 28.28
WV = 14.14
Answer: 12.5 litres
Step-by-step explanation:
The SUV takes 2.5 litres for every 20 km driven.
The trip to work is 20 km which means that going to work costs Marie's father 2.5 litres every day in fuel.
In a week, there are 5 working days.
The amount of fuel used per week is therefore:
= 2.5 * 5
= 12.5 litres
The value is twenty four.
