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:
₹165.79
Step-by-step explanation:
Given:-
No. of electric bulbs = 1000
cost of each electric bulb = ₹ 150
No. of bulbs broken = 50
Selling price of each bulb = x
Profit percentage = 5%
To Find:-
The selling price of each bulb.
Solution:-
Cost price of 1000 electric bulbs,
= 1000 × ₹150
= ₹1,50,000
5% profit on the total cost price,
= {5}/{100}× ₹150000
= ₹7500
Total selling price = ₹157500
No. of bulbs remaining = 950
Therefore, selling price of each bulb,
= {₹157500}/{950}
= ₹165.79
Therefore,
Selling price of each bulb = ₹165.79
Answer:
That is a 45-45-90 triangle next to a 30-60-90 triangle.
So, the height of the left triangle equals 5.
That makes the short side of the 30-60-90 triangle also equal to 5.
In a 30-60-90 triangle, the hypotenuse (or "x") is exactly twice the length of the shortest side.
Therefore, the hypotenuse (or "x") equals 10.
Step-by-step explanation:
Answer: 39
Step-by-step explanation:
Given
P(x)=7x+5
r(x)=x-1
r(p(x))=7x+5-1=7x+4
so, r(p(5))
Answer:
I think you need to multiply 12 and 7 and then cut that in half
