Answer:
Step-by-step explanation:
hg(x) means you multiply h(x) times g(x) and then we will set it equal to
.
hg(x) =
which simplifies to
. Now set that equal to
:
and get everything on the same side and factor:
. Factor by grouping:
and factor out what's common in each set of ( ):
which factors out to
. But
factors somoe to:
(x + 1)(x - 1)(x - 1) = 0 So the solutions for this are
x = -1, 1
Answer:
h(x) = (x +1.5)^2 -20.25
Step-by-step explanation:
We assume you want to rearrange h(x)= x^2 +3x -18.
Recognize the coefficient of x is 3. Add and subtract the square of half that. (3/2)^2 = 9/4 = 2.25
h(x) = (x^2 +3x +2.25) -18 -2.25
Now, write the expression in parentheses as a square, simplify the constant.
h(x) = (x +1.5)^2 -20.25 . . . . . . . . vertex form
Quadratic equation is the equation in which only one variable is unknown. The highest power of the variable is 2.The value of the given functions are,


<h3>
Given information-</h3>
The given function is,


<h3>Quadratic equation</h3>
Quadratic equation is the equation in which only one variable is unknown. The highest power of the variable is 2.
1) The value of the function (h+k)(2),




2)The value of the function (h-k)(3),




3) The value of the function 3h(2)+2k(3)



Hence the value of the given functions are,


Learn more about the quadratic equation here;
brainly.com/question/2263981