the answer should be C.x=-5,y=1
Answer:
Domain of the function is Option 1. (-∞,1)∪(1,∞).
Step-by-step explanation:
In the question two functions have been given as
f(x) = (x-1)/2x and g(x) = (x-1)/x
Now we have to find a function defined as (f Ф g(x))
We put the value of g(x) in f(x) to find a new function defined as fФ(g(x))
⇒ fФ(g(x)) =
Now we multiply numerator and denominator by x.
fФ(g(x) =
=
The function is defined only if (x-1)>0 ⇒ x >1
and (x-1)<0 ⇒ x <1
So the domain will be the combined set of ( 1,∞) and (-∞,1) or (1,∞)∪(-∞,1).
Answer:
1. 9/24 = 0.375 ounces
You have 9 ounces of clay that make up 24 pieces therefore you need to divide the 9 by 24 to work out how much clay is used for one piece
2. X=7
To solve the equation you want x to be on its own. To do this you need to minus the 5 from the left. But what you do to one side you must do to the other so x=7 because 12-5=7
3. 3y-1
To get three times yvonnes age you need to multiple y by 3 making it 3y. You then need to take off one year which quite simply makes the expression 3y-1
4. 18/3= 6mm
You divide the total depth by the number of hours to get 6mm.
5. 3x3=9 yards
6 skirts is three times as many skirts as 2 skirts (6/2=3) and because Laura uses 3 yards for every 2 skirts you multiple 3 by 3 to get the 9 yards
Hope this helps :)
-6-x=41
x=-47 times -3
=141 divided by -4 =35.25