Answer:
option B is correct, i.e. (f+g)(x) = x² + 3x - 5.
Step-by-step explanation:
Given f(x) = 3x + 1.
Given g(x) = x² - 6.
To find (f+g)(x).
The rule of Arithmetic of functions is:- (f+g)(x) = f(x) + g(x).
(f+g)(x) = (3x+1) + (x²-6).
(f+g)(x) = x² + 3x + 1 - 6.
(f+g)(x) = x² + 3x - 5.
Hence, option B is correct, i.e. (f+g)(x) = x² + 3x - 5.
Answer:
see attached diagram
Step-by-step explanation:
A dilation with a scale factor of
centered at the origin has a rule:

Then the image of the triangle ABC is triangle DEF(see attached diagram) with coordinates
For this case we have the following trigonometric relationship:
cos (y) = 8/13
Clearing the value of and we have:
y = Acos (8/13)
Calculating the angle we have:
y = 52.02012756 degrees
Rounding off we have:
y = 52.02 degrees
Answer:
the measure of angle and is:
y = 52.02 degrees
3.0? Im not sure but i this so
Answer:
We have that:

And we want to find the value of g(4)
Then we are evaluating the function g(x) in x = 4, this means that we need to locate all the "x" in g(x), and replace them by 4.
If we do that, we get:

Now we can just solve this to get:
