Please help me answer these.

Hello!

The best way to solve this is to replace X for Y, and Y for X.

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A sample problem to help:

4x +8 = y  

4y +8 = x  (switched X and Y)

Y + 8 = 1/4x (solve for Y)

-8            -8

y = 1/4x -8

(now your almost done, since this is function, we need to change y to be f(x))

f(x) = 1/4 - 8

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Now that you have a basic understanding, let's do the ones you listed!

We are looking to see if the equations are inverses of the equation.

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1. f(x) = 2/3x - 7         g(x) = 3/2x + 7

First: You use equation f(x), and change f(x) to y:

y = 2/3x - 7

Next: You switch x and y:

x = 2/3y - 7

Now solve for y.

x = 2/3y - 7

+7            +7

x + 7 = 2/3y

y = + 5

(Set it to f(x) )

f(x) = + 5

Now look to see if it matches with the second equation.

f(x) = + 5     g(x) = 3/2x + 7

It doesn't, so it is not the inverse of each other.

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2. f(x) = -2x - 1           f(x) =-1/2x - 1/2

First: You use equation f(x), and change f(x) to y:

y = -2x - 1

Next: You switch x and y:

x = -2y - 1

Now solve for y.

x = -2y - 1

+1        +1

x + 1 = -2y

/-2   /-2

-1/2x + 1/2 = y

(Set it to f(x) )

f(x) = -1/2x + 1/2

Now look to see if it matches with the second equation.

f(x) = -1/2x + 1/2          f(x) =-1/2x - 1/2

It does, so it is the inverse of each other.

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3. f(x) =               g(x) = 2x - 1

First: You use equation f(x), and change f(x) to y:

y =

Next: You switch x and y:

x =

Now solve for y.

x =

*2    *2

2x = y + 1

-1        -1

y = 2x - 1

(Set it to f(x) )

f(x) = 2x - 1

Now look to see if it matches with the second equation.

f(x) = 2x - 1     g(x) = 2x - 1

It does, so it is the inverse of each other.

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#Team Trees #Team Seas #PAW #Spread_Positivity

I hope this helps,

-Oceanbreeze24

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.  

answer: i guess 105 degrees?

step-by-step explanation: