The function (fg)(x) is a composite function
The value of the function (fg)(x) is 2x^3 + 7x^2 - 19x - 20
<h3>How to determine the function (fg)(x)?</h3>
The functions are given as:
f(x) = 2x^2 - 3x - 4 and g(x) = x + 5.
To calculate (fg)(x), we make use of
(fg)(x) = f(x) * g(x)
So, we have:
(fg)(x) = (2x^2 - 3x - 4) * (x + 5)
Expand
(fg)(x) = 2x^3 - 3x^2 - 4x + 10x^2 - 15x - 20
Collect like terms
(fg)(x) = 2x^3 - 3x^2 + 10x^2 - 4x - 15x - 20
Evaluate
(fg)(x) = 2x^3 + 7x^2 - 19x - 20
Hence, the function (fg)(x) is 2x^3 + 7x^2 - 19x - 20
Read more about composite function at:
brainly.com/question/10687170
Answer:
c) The equation to find the price of each shrub is $53.50 = 4 p + $17.50
The cost of 1 shrub = p = $ 9.00
Step-by-step explanation:
The total number of shrubs purchased = 4
The price paid for potting soil = $17.50
The total bill of purchase = $53.50
Let us assume the cost of 1 shrub = $p
The total amount spent of 4 shrubs = 4 x ( The price of each shrub) = 4 p
TOTAL BILL = The amount paid for 4 shrubs + AMOUNT paid for SOIL
⇒ $53.50 = 4 p + $17.50
Now. solving for p, we get:
53.50 - 17.50 = 4 p
or, 3 6 = 4 p
or, p = 36/4 = 9
or, p = 9
Hence, the cost of each shrub = $9
Here is your answer
B. (12,30)
REASON:
Given,
.......(i)
.......(ii)
Putting the value of y from eq.i in eq.ii we get
Putting x=12 in eq.i we get
So,
Hence answer is (12,30) in which x=12 and y=30
HOPE IT IS USEFUL
-24 - I didn’t explain it in words, but the step by step is in the image!
