Answer:
The Domain is all real values of x except x = 0 and x = -2.5.
Step-by-step explanation:
I am assuming that f(x) = 3/(x + 2).
(f o g)x is found by substituting 5/x for the x in 3/(x + 2).
(f o g) x = 3/ ( 5/x + 2)
= 3 / ( 5+2x) / x
= 3x / (5 + 2x).
When finding the domain you first check for values of x which make g(x) undefined then values of x which make (f o g)(x) undefined.
x = 0 makes g(x) = 5/0 so it is undefined and x = -2.5 makes g o f undefined also.
Answer:
Step-by-step explanation:
4 - 2x - 8x > -6x - 16
4 - 10x > -6x - 16
4 - 4x > -16
-4x > -20
x < 5
You multiply it with the same number you use for the denominator.
in this case 3/4 and 7/10
you find the LCM of the denominator is 20
so for 4 to become 20 you multiply by 5 then for the numerator 3 also multiply by 5, so you get 15/20
its the same also with 7/10, you multiply both the numerator and the denominator by 2 and get 14/20
hope it help... :)
Another way to say f(x) is y, so y=0 at -2 and 10. :)