Answer:
we need the graph to see. Take a screenshot please
1- getting f*g:
We are given that:
f (x) = -6x + 3
g (x) = 5x + 4
To get f*g, we will simply multiply the two functions as follows:
f (x) * g (x) = (-6x+3)(5x+4)
f (x) * g (x) = -30x² - 24x + 15x + 12
f (x) * g (x) = -30x² - 9x + 12
2- getting the domain:
The domain is all the values of x that can be used in the given equation.
In the equation calculated from part 1, we can note that all real numbers can be considered as the domain.
Hope this helps :)
Answer:
Option D
and 
Step-by-step explanation:
step 1
<u>Find the equation of the inequality A</u>
we know that
The solution of the inequality A (dashed line) is the shaded area below the dashed line
The equation of the dashed line is 
therefore
The equation of the inequality A is 
step 2
<u>Find the equation of the inequality B</u>
we know that
The solution of the inequality B (solid line) is the shaded area below the solid line
The equation of the solid line is 
therefore
The equation of the inequality B is 
The system of linear inequalities is
and 
For the given right triangle, the perimeter is 60cm, so the correct option is D.
<h3>
</h3><h3>
How to get the perimeter of the triangle?</h3>
We can see a right triangle, by using the Pythagorean theorem we can get the missing cathetus:


Now we know the measure of the 3 sides, then the perimeter of the given triangle is:
P = 15cm + 20cm + 25cm = 60cm
The perimeter of the triangle is 60cm.
If you want to learn more about right triangles:
brainly.com/question/2217700
#SPJ1
R=square root of 10 is the answer