Answer:
See explanations below
Step-by-step explanation:
Given the function
f(x) = 3x+12
Let y = f(x)
y = 3x+12
Replace y with x
x = 3y+12
Make y the subject
3y = x-12
y = (x-12)/3
Hence the required inverse is!
g(x) = (x-12)/3
b) To show that the functions are inverses, we must show that f(g(x)) = g(f(x))
f(g(x)) = f((x-12)/3)
Replace x in f(x) with x-12/3
f(g(x)) = 3(x-12)/3 +12
f(g(x)) = x-12+12
f(g(x)) = x
Similarly for g(f(x))
g(f(x)) = g(3x+12)
g(f(x)) = (3x+12-12)/3
g(f(x)) = 3x/3
g(f(x)) = x
Since f(g(x)) = g(f(x)) = x, hence they are inverses of each other
c) Given f(g(x)) = x
f(g(–2)) = -2
The domain is the input variable of the function. Hence the domain is -2
The value of x in the algebraic equation is: -5/2.
<h3>How do you Find the Value of a Variable in an Algebraic Equation?</h3>
Given an algebraic equation, to find the unknown value of x, solve by isolating x in the equation.
Given:
4x + 26 = 16
Subtract 26 from both sides
4x = 16 - 26
4x = -10
Divide both sides by 4
x = -10/4
x = -5/2
Therefore, the value of x in the algebraic equation is: -5/2.
Learn more about algebraic equation on:
brainly.com/question/2164351
Answer:
The answer is A) -9.272
Step-by-step explanation:
-5.872 + (-5.1)/1.5
= -5.872 - 3.4
= -9.272
Ok so this is a Pythag question...
So the first step would be A squared plus B squared equals C squared
Your A squared would be 12
You do not have B squared value yet
Your C squared Would be 16
So your equation is 12 squared plus B squared equals 16 squared
Simplified that would be 144 plus B squared equals 256
Subtract 144 from both sides and you get 112 equals B squared so do that dividing symbol thing on both sides and you get 10.58 equals c
C= 10.58
In order to determine how log will take for 8 people to pave a driveway you use the given proportion: 3 people pave a driveway in 4 hours.
By a simple rule of three you have:
3/4 = 8/x
Where you have peeple in the numerator and time in hours in the denominator.
You solve the previous equation for x:
3/4 = 8/x
x = (8/3)*(4) = 32/3 = 10.66
Then, 8 people will take approximately 10 hours plus 40 minutes to pave a driveway
