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:
c. 44,950,000
Step-by-step explanation:
The following table is missing:
Year Attendance (millions)
1985 18.4
1990 25.2
1995 33.1
2000 37.6
Using a calculator, the line of best fit is obtained. Equation:
y = 1.31x - 2581.6
where y is attendance (in millions) and <em>x</em> is the year. Replacing with x = 2005 into the equation, we get:
y = 1.31(2005) - 2581.6
y = 44.95 millions or 44,950,000
Answer:
$175
Step-by-step explanation:
3.5 x 50 = $175
