The rational function shown in the graph is:

<h3>
How to determine the function?</h3>
First, we can see that we have an asymptote at x = 5, so the denominator becomes equal to zero when x = 5.
Then the rational function is something like:

We also can see that when x = 6, the function intercepts the x-axis, then we must have that:
g(6) = 0
So we can define:
g(x) = x - 6
So the rational function is:

If you want to learn more about rational functions, you can read:
brainly.com/question/1851758
Answer:
f(x) = -7x² - x
g(x) = 9x² - 4x
To find ( f - g)(x) subtract g(x) from f(x)
That's
( f - g)(x) = - 7x² - x - ( 9x² - 4x)
= -7x² - x - 9x² + 4x
Group like terms
( f - g)(x) = - 7x² - 9x² - x + 4x
<h3>( f - g)(x) = - 16x² + 3x</h3>
To find (f - g)(1) substitute 1 into ( f - g)(x)
That's
(f - g)(1) = - 16(1) + 3(1)
= -16 + 3
<h3>= - 13</h3>
Hope this helps you
Answer:
35/3 is your answer
Step-by-step explanation:
also if you want it in decimal form its 11.6
Answer:
10 sqrt(3)/3 =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp side /adj side
tan 30 = x/10
10 tan 30 =x
10 ( sqrt(3)/3) = x
10 sqrt(3)/3 =x
Answer:
False
Step-by-step explanation:
Here's a true if-then statement:
if false, then true
Here's the modification proposed:
if not false, then not true . . . . . . . . . this is not a true if-then statement