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
In this item, we are given that the number of miles that John runs every day vary. Therefore, it is just rightful that we use three different variables for the number of miles he ran for three days. For the purpose of representation in this item, we let the variables be x, y, and z. The total miles he ran is equal to the sum of the three variables. Let T be the total and that would be equal to,
<em> T = x + y + z</em>
Answer:
80
Step-by-step explanation:
hope it helps . .. ..,......
Ummm search it up on google it should be on there
There would be 35 rulers.
In order to solve this, use cross multiplication.
6/10 = 21/x -----> cross multiply
10*21 = 6*x
210 = 6x
35 = x