Which of the following function pairs are inverses? Options and questions below:

Second choice

Step-by-step explanation:

To find inverses, we follow the steps:

1. exchange variables x and y

2. solve for y in terms of x.

The resulting function is the inverse.

Take case 2 as an example:

f(x) = y = 2x-3

1. exchange x and y : x=2y-3

2. solve for y: x+3=2y => y=(x+3)/2 = g(x)

Since the inverse of f(x) is g(x)=(x+3)/2, the second choice is the answer.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

36

step-by-step explanation: