Which input value produces the same output value for the two functions? me out. : )

1

Step-by-step explanation:

In the given pictures  , we have two tables representing two different functions f(x) and g(x).

Here one column is representing the input values (x) and the next column represents the output values [ f(x) or g(x) ]corresponding to each x.

From both the tables , we can see for input value of 1, there are same output values in both the functions as 3.

Hence, the input value which produces the same output value for the two functions = 1

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