Step-by-step explanation:
Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=2x f - 1 ( x ) = 2 x is the inverse of f(x)=12x f ( x ) = 1 2 x .
Replace f(x)f(x) with yy.
y=12xy=12x
Interchange the variables.
x=12yx=12y
Solve for yy.
Rewrite the equation as 12y=x12y=x.
12y=x12y=x
Multiply both sides of the equation by 22.
2⋅12⋅y=2⋅x2⋅12⋅y=2⋅x
Simplify 2⋅12⋅y2⋅12⋅y.
Cancel the common factor of 22.
Cancel the common factor.
2⋅12⋅y=2⋅x2⋅12⋅y=2⋅x
Rewrite the expression.
1⋅y=2⋅x1⋅y=2⋅x
Multiply yy by 11.
y=2⋅xy=2⋅x
Solve for yy and replace with f−1(x)f-1(x).
Replace the yy with f−1(x)f-1(x) to show the final answer.
f−1(x)=2xf-1(x)=2x
Set up the composite result function.
g(f(x))
Answer:
Step-by-step explanation:
Odd numbers backwards - 9, 7, 5, 3
1 = -2+9=7
2 = -1+7=6
3 = 0+5=5
4 = 1 +3=4
Answer:
C = 35 pi
Step-by-step explanation:
The new diameter is 5 + 30 = 35
The circumference = pi * d
The circumference = 35*pi
Answer:
there is 60 minutes in a day or in a hour?
according to 60 min in a hour
Answer: 24*60= 1440 min
Step-by-step explanation:
its impossible to have 60 min in a day.
Hello!
To find how much less Marvin pays per liter using his loyalty card, we can subtract the discounted value from the original value.
1.679 - 1.439 = 0.24
Therefore, Melvin pays 0.24 dollars less per liter using his loyalty card.
