<span>Composition of Functions. Function Composition is applying one function to the results of another: The result of f() is sent through g() It is written: (g º f) (x)</span>
<h3>
Answer: B) the function g(x) has a larger slope</h3>
===================================================
Explanation:
The slope of f(x) is 4, since the equation y = 4x+2 has slope m = 4. Compare this to y = mx+b.
The slope of g(x) is 5. Note how if we started at (0,-2) on the red line and moved up 5 and to the right 1, we arrive at (1,3) which is another point on the red line. You could use the slope formula
m = (y2-y1)/(x2-x1)
to get the same result.
Since the slope of f(x) is 4 and the slope of g(x) is 5, we see that g(x) has a larger slope. The g(x) line is steeper compared to f(x).
This is already in simplest form. it can't be reduced furthermore.
As a mixed number is 5 1/4
As a decimal is 5.25
Answer: An = 36 + 2(n - 1)
Step-by-step explanation:
If the height of the tree grows by 2 inches every year, then the height of the tree is increasing in arithmetic progression. The The formula for determining the nth term of an arithmetic sequence is expressed as
An = a + d(n - 1)
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = 36 inches
d = 2 inches
Therefore, the explicit rule representing this situation is
An = 36 + 2(n - 1)
