Which input value produces the same output value for the two functions on the graph?

Option C. x = 1 is the answer.

Step-by-step explanation:

If g(x) = mx + c is the first function and second function is f(x) = (-m'x) + c'

Then the solution of the given equations of the lines will be a common point lying on both the lines.

Here the common point is (1, 1) (given in the graph)

It means when we put x = 1, we get the value of y = 1 in both the equations.

In other words, for the input value of x = 1 we get the output value of both the functions f(x) = g(x) = 1

Therefore, x = 1 will be the input value.

Option C. is the answer.

(d)

step-by-step explanation:

given: the line in the graph passes through points (5,30) and (6,26).

then, the equation of line is:

now, put y=a(n) and x=n,

hence, option d is correct.

a=24; b=12

step-by-step explanation:

a/b=2: 1

a=2b

36/(1+2)=12

b=12

a=24