Two functions are defined as shown. f(x) =-1/2 x – 2 g(x) = –1 which graph shows the input value for which f(x) = g(x)?

See attachment.

Step-by-step explanation:

The given functions are:

and g(x)=-1

To find the x-value of the point of intersection of the two functions, we equate the two functions and solve for x.

The graph that shows the input value for which f(x)=g(x) is the graph which shows the point of intersection of f(x) and g(x) to be at x=-2.

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.