Answer:
See explanations below
Step-by-step explanation:
Given the functions f(x)=2x+3 and g(x)=x^2-1
a. Find f(g(x))
f(g(x)) = f(x^2-1)
f(g(x)) = 2(x^2-1)+3
f(g(x))= 2x^2-2+3
f(g(x)) = 2x^2+1
Hence the composite function f(g(x)) is 2x^2+1
b) g(f(x)) = g(2x+3)
g(f(x) = (2x+3)^2-1
g(f(x)) = 4x^2+12x+9-1
g(f(x)) = 4x^2+12x+8
<em>The answer you are looking for is: </em>
<em><u>
270 
</u></em>
<em><u>15*18= 270 </u></em>
<em><u>And you have to add the yard square at the end. </u></em>
<em>Hope that helps!! </em>
<em>Have a wonderful day!!</em><span />
Answer:
-8
Step-by-step explanation:
you add 5 to -7 to get -2
7 x -1 is -7
so x = -1
8 x -1 = -8
Answers:
- Pizza Uno = $5.25
- Pizza Duo = $5.60
Those are the costs for a whole small pizza.
==========================================================
Explanation:
Let
- x = cost of whole small pizza from Pizza Uno
- y = cost of whole small pizza from Pizza Duo
x and y are some dollar amount, so they cannot be negative numbers. It also doesn't make sense to have them be 0 either. So we'll make them positive.
2/3 of x is equal to 3.50 as the first sentence mentions. This forms the equation (2/3)*x = 3.50
Multiply both sides by the reciprocal of 2/3 to isolate x
(2/3)*x = 3.50
(3/2)*(2/3)*x = (3/2)*3.50
x = 5.25
Pizza Uno charges $5.25 for a whole small pizza.
----------------------------
Pizza Duo charges $4.20 for 3/4 of a small pizza, meaning the equation we need to solve is
(3/4)y = 4.20
We'll use the same idea as the last equation to get...
(3/4)y = 4.20
(4/3)*(3/4)y = (4/3)*4.20
y = 5.60
Pizza Duo charges $5.60 for a whole small pizza.
Pizza Uno is the better deal (assuming both pizzas taste the same or you don't have a preference for either). You would save $5.60 - $5.25 = $0.35 = 35 cents.
Answer:
C. g has been shifted down five units and to the left two units from f
Step-by-step explanation:
Sana makatulong
