G(x) = 2x + 1
f(x) = x + 2
B wants you to find g of f of x, or, in other words, g(f(x)).
g(x + 2) = 2(x + 2) + 1
g(x + 2) = 2x + 4 + 1
g(f(x)) = 2x + 5
1.) Group like terms: 4x+3x-5x+5x+5x-3x+2x-8x+2x-5x-5+7
2.) Add similar elements: = 4x+3x-5x+5x+5x-3x+2x-8x+2x-5x=0
3.) =-5+7
4.) Add/Subtract the numbers: -5 + 7 = 2
<u>Your Answer: 2</u>
The horizontal asymptote of a rational function tells us the limiting value of that function as it approaches infinity.
For a rational function to have a horizontal asymptote of

then,

The second condition is that,

Example are given in the graph above.
Here are some other examples,

4 and 15. You can guess and check or use algebra.
Answer:
Step-by-step explanation: