Please Help! Which of the following pairs of functions are inverses of each other?

B

Step-by-step explanation:

To find an inverse of a function, we need to switch y and x and then solve for y again

A:

and y = 7(x + 2) - 8We can manipulate either equation, so I will manipulate the second equationSwitching the variables we now have y = 7(x + 2) - 8 → x = 7(y + 2) - 8Now solving for y we can distribute the 7 to the (y + 2) and add the 8 to the other side: x + 8 = 7y + 14Now we can subtract the 14 from both sides: x - 6 = 7yLastly dividing both sides by 7 we get These equations are not inverses of each other because

B:

and Here I will chose to manipulate the second equation Switching the variables we now have → Now solving for y we can distribute the 4 in the numerator to the (y + 3) to get  Then we can multiply both sides by 5 to get rid of the denominator: 5x = 4y + 12Then subtracting 12 from both sides we get 5x - 12 = 4yLastly, dividing both sides by 4 we get Now this final product can be simplified to which then can be simplified to These equations are inverses of each other because

Since we have found the inverse of one of the functions, working out C and D is irrelevant

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