The first one is fraction and the second one is volume.
The first thing you should do in this case is to compose both functions:
f (x) = x + 7
g (x) = 1 / (x-13)
Making the composition
f (g (x)) = (1 / (x-13)) + 7
f (g (x)) = (7 (x-13) +1) / (x-13)
Answer:
The domain of the function is:
x other than 13
(option 4)
Answer:
Federcio's age possible values are those that are greater than 14 i.e 15, 16, 17 and so on
Step-by-step explanation:
Let Federico's age = x
Three times the difference of Federico’s age, and 4 means:
3(x - 4)
Increased by 7:
3(x - 4) + 7
Is greater than 37:
3(x - 4) + 7 > 37
Solving the inequality:
3x - 12 + 7 > 37
3x - 5 > 37
3x > 37 + 5
3x > 42
x >42/3
x > 14
Federcio's age possible values are those that are greater than 14
you basically have to times it by 3 so
2:7
4:14
6:21
the answer would be 6 tablespoons of sugar to 21 tablespoons of flour
Let the both the parts be 'x' and 'y'
x>y
We know that 4x = 5y
so x = 5y/4
x + y = 54
Replacing x we get
(5y/4) + y = 54
(5y +4y)/4 = 54
9y = 216
y = 24
Replacing y in ' x+y = 54'
we get x = 30
Hence the larger part is 30 whereas the smaller part is 24