Answer:
A
Step-by-step explanation:
(fg)(x) = f(x) × g(x)
= (x - 8)(x² + x - 1)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x² + x - 1) - 8(x² + x - 1) ← distribute both parenthesis
= x³ + x² - x - 8x² - 8x + 8 ← collect like terms
= x³ - 7x² - 9x + 8 → A
There are no restrictions on the domain.
There is a hole at x=4 because the top factors to (x-4)(x+3)
in the end we get
f(x)=(x-4)(x+3)/(x-4)
the (x-4) cancels out and we get
f(x)=x+3
so baiscally f(x) is y=x+3 but with a hole at (4,7)
one way is to make a piecewise function defined as(x^2-x-12)/(x-4) for all x≠4 and defined as 7 for x=4
or, to just do f(x)=x+3
Answer:
D.
Step-by-step explanation:
multiply both sides by 4, that way we will simplify the fraction
-x 
8 and we need to multiply this by -1
-8 x the graph that represents this inequality is given in D.
Answer:
Step-by-step explanation:
Given
Required
Write the equation of the line;
Start by picking any two corresponding x and y values
Next, determine the slope (m)
The equation is then calculated using:
Hence, the line equation is:
