Answer:
the average rate of change in y with respect to x over the interval is 7. that is, for every single unit by which x changes, y on average changes by 7 units.
Step-by-step explanation:
Lets write as an equation:
x/4 + 18 = x
to get rid of fraction lets multiply the whole equation by 4:
x + 4*18 = 4x
x + 72 = 4x
3x = 72
x = 72/3
x = 24
that is the solution
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:
A It cannot be determined from the information given.
Step-by-step explanation: