Answer:
In general gf(x) is not equal to fg(x)
Some pairs of functions cannot be composed. Some pairs of functions can be composed only for certain values of x.
Only with they can be composed some values of x are the ranges of g(x) and f(x) are the same, and their domains are also the same. Or else lies inside it.
Step-by-step explanation:
g(x) = 3x + 6 - 8, f(x) = √x.
The domain of a composed function is either the same as the domain of the first function, or else lies inside it
The range of a composed function is either the same as the range of the second function, or else lies inside it.
Or vice versa
Now only positive numbers, or zero, have real square roots. So g is defined only for numbers
greater than or equal to zero. Therefore g(f(x)) can have a value only if f(x) is greater than or
equal to zero. You can work out that
f(x) ≥ 0 only when x ≥3/2
.
Answer:
x = 9
Step-by-step explanation:
Use the equation of the line, and let y = 0. Then solve for x.
y = 2/3 x - 6
Let y = 0:
0 = 2/3 x - 6
Add 6 to both sides.
6 = 2/3 x
Multiply both sides by 3/2.
3/2 * 6 = x
x = 9
Answer:
1/3
(given answers in Question are unreadable)
Step-by-step explanation:
We search for red balls (neither yellow or black). There are 6 red balls among all 18 balls. Selecting one ball, there is a chance 6/18 that we pull out a red one. 6/18 is the same as 1/3.
Answer:
6.1*10^-6
Step-by-step explanation:
Acellus
Jess rode 4.25 km in 20 min.
Speed = 4.25: 20 = 0.212 km/min
Corey rode 3.75 km in 18 min.
S= 3.75 : 18= 0.208
Mia rode 3.5 km in 17 min.
S = 3.5 :17 = 0.205
Zoey rode 3.6 km in 16 min.
S= 3.6 :16 = 0.225
The greatest rate of speed : ZOE with 0.225 km/min
