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:
B
Step-by-step explanation:
The pattern is to add 4 each time. So 17+4 is 21, 21+4 is 25, and 25+4 is 29
Answer: $750
Step-by-step explanation:
So we know that he earns $25 per hour, and we want to know how much he earns if he worked for 30 hours which is a week.
25=1
?=30
then we can cross multiply which is
=750
so the answer is John earns $750 a week.
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