Question

two functions are defined as shown.

f(x) = x – 2

g(x) = –1

Which graph shows the input value for which f(x) = g(x)?

Answer 1

since f(x) = g(x)
x-2 = -1
x = 1

so the graph is as shown, x = 1

Answer 2

Answer:

The graph of f(x) passes through the points (-4, 0) and (0,-2).

Step-by-step explanation:

Step 1: Given data f(x)=$-\frac{1}{2} x-2$, g(x)= -1

Step 2: The equation of f(x) represents a straight line with slope -1/2 and has y intercept of -2.

Step 3: Also the x-intercept of the line is given by

Step 4: f(x)=$-\frac{1}{2} x-2$ = 0

The value of x is -4

Thus, the graph of f(x) passes through the points (-4, 0) and (0,-2).

Step 5: The graph of g(x) represents a line which passes through (0,-1).

Step 6: To calculate the intersection point of f(x) and g(x)

Step 7: -1/2x – 2=-1

-1/2x =1

X= -2

Thus, the intersection point is (-2,-1)

Step 8: The input value of f(x) = g(x)