Answer:
f(g(x)) = -9(sqrt(x + 1) ) + 9
-36
Step-by-step explanation:
This is easier to see if you use the expanded notation.
f(g(x)) = ?
But what that means is that the left most function is f(x) and where every you see an x, you put in a g(x) like so
f(g(x)) = -9(g(x)) + 9 Now substitute the right side of g(x) into the equation for f(x)
f(g(x)) = -9(sqrt(x + 1) ) + 9
Edit to get the numerical answer.
This should be your answer or the expression that will give you the answer.
f(g(24)) = -9(sqrt(24+1) ) + 9
f(g(24)) = -9sqrt(25) +9
f(g(24)) = - 9*5 + 9
f(g(24)) = - 45 + 9
f(g(24)) = - 36
Answer: x-3y=3x
8y=6x8
y=6x
Step-by-step explanation:
<h2>Meaning of linear equation</h2><h3>A linear equation is a equation that goes at a constant pace and won't change overtime, so functions like x squared and functions that multiply x and y together doesn't go at a constant pace, there not linear equations, but functions like y=mx, M representing any constant, that is a linear equation, therefore
x-3y=3x</h3>
8y=6x8
y=6x
<h3>
Are the answers to your Question,</h3>
An architect built a scale model of a shopping mall. On the model, a circular fountain is
20
20 inches tall and
22.5
22.5 inches in diameter. The actual fountain is to be
8
8 feet tall. What will be the diameter of the fountain? (A)
7.1
7.1 feet (B)
9
9 feet (C)
7
7 feet (D)
10.5
10.5 feet
Explanation
Verified
Step 1
1 of 2
Given a circular fountain is 20
i
n
c
h
e
s
inches tall and 22.5 inches in diameter.
Writing above scale as fraction
Height
Diameter
=
20
22.5
Diameter
Height
=
22.5
20
Now given the fact that actual fountain is 8
f
e
e
t
feet i.e 96
i
n
c
h
e
s
inches tall and let its diameter be
x
x
i
n
c
h
e
s
inches, therefore
20
22.5
=
96
x
22.5
20
=
x
96
Answer:
x = 10.8
y = 11.2
Step-by-step explanation:
AB : AP = AC : AQ
5 :(5+9) = 6 : (6+x)
5: 14 = 6 :(6+x)
5(6+x) = 14*6
30 + 5x = 84
5x = 54
x = 10.8
AB : AP = BC :PQ
5 :14 = 4 : y
5y = 14*4
y = 11.2
The opposite of 12.1 is 12.2