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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: See below
Step-by-step explanation:
<u>Area of the square</u> = l*w = 11*11 = 121
<u>Area of the circle</u> = pi r^2 = pi*1^2 = 3.142
<u>Part A</u>
P(hitting the circle) = 3.142 / 121 = 0.026 which is closer to 0.
<u>Part B</u>
P(hitting the outside portion) = 1 - 0.026 = 0.974 which is closer to 1.
Answer:
All real numbers is the answer
Step-by-step explanation:
