The inverse is y = x/2 - 4
Steps involved are -
- replace f(x) with y: y = 2(x + 4)
- Then switch y and x: x = 2(y + 4)
- Finally make y the subject:
- x = 2(y + 4)
- x/2 = y + 4 (divide by 2)
- x/2 - 4 = y (subtract 4)
- So, the inverse is y = x/2 - 4
<h3>What is the formula for inverse function?</h3>
- In mathematics, the inverse function of a function f (also called the inverse of f) is a function that undoes the operation of f.
- The inverse of f exists if and only if f is bijective.
- f-1(y) = y/2 = x, is the inverse of f(x).
To learn more about inverse functions from the given link
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<span>Simplifying
1.06g + -3 = 0.71
Reorder the terms:
-3 + 1.06g = 0.71
Solving
-3 + 1.06g = 0.71
Solving for variable 'g'.
Move all terms containing g to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + 1.06g = 0.71 + 3
Combine like terms: -3 + 3 = 0
0 + 1.06g = 0.71 + 3
1.06g = 0.71 + 3
Combine like terms: 0.71 + 3 = 3.71
1.06g = 3.71
Divide each side by '1.06'.
g = 3.5
Simplifying
g = 3.5</span>
Answer:
To find an equal ratio, you can divide or multiply by the same number on the top and bottom of the fraction. For example...
<u>5 x 2</u> = <u>10</u>
7 x 2 14
So, by multiplying 5 and 7 by 2, 10/14 is another fraction that is equal to 5/7. Here's some more possible answers if you need them...
<u>5 x 3</u> = <u>15</u>
7 x 3 21
<u>5 x 4</u> = <u>20</u>
7 x 4 28
Hope this helped you c:
We need to solve the following system by substituition:

To solve by substituition means that we need to isolate one variable in one of the equations and replace one expression with the other. This is done below:

Then we need to replace the value of "x" in any of the two equations.

The solution is (-3,-5).
Answer:
he traveled a total of 349.5 miles.
Step-by-step explanation:
*First we convert the 150 minutes to hours, that is :

Now we determine the distance Michael traversed during those 2.5 hours:

He transversed 187.5 miles.
We also determine the distance he tranversed the two remaining hours:

He also traveled 162 miles
Finally we add both traversed distances:

So , he traveled a total of 349.5 miles.
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