Answer:
Domain and Range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively
Step-by-step explanation:
We have the functions, f(x) = eˣ and g(x) = x+6
So, their composition will be g(f(x)).
Then, g(f(x)) = g(eˣ) = eˣ+6
Thus, g(f(x)) = eˣ+6.
Since the domain and range of f(x) = eˣ are all real numbers and positive real numbers respectively.
Moreover, the function g(f(x)) = eˣ+6 is the function f(x) translated up by 6 units.
Hence, the domain and range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively.
Answer:
[ext]T(x) = 2C / Speed[/ext]
Step-by-step explanation:
[ext]Time taken for the Ranger to get to the car = Sum total time taken to travel in the forest and on the road[/ext]
Since [ext]distance of the Ranger to the car = C[/ext]
[ext]Time taken = distance/speed[/ext]
[ext]Total Time taken T(x) = 2 * C / speed[/ext]
T(x) = 2C / speed
10 crayons = $5
1 crayon = $5 ÷ 10 = $0.50
Answer: Unit Price = $0.50/crayon
Answer:
Pears: 30
Step-by-step explanation:
Constant:
3x + 5x + 2x = 150
10x = 150
x = 15
Multiply ratio with constant from above:
oranges : apples
3 * 15 : 5 * 15
45 : 75 ==> 45 oranges: 75 apples
pears : apples
2 * 15 : 5 * 15
30 : 75 ==> 30 pears: 75 apples
Check:
45 oranges + 75 apples + 30 pears = 150 fruits
