Remember, if the two graphs are symmetric with respect to the line y = x (mirror images over y = x ), then they are inverse functions. But, we need a way to check without the graphs, because we won't always know what the graphs look like! then f(x) and g(x) are inverse functions.
Answer:

Step-by-step explanation:
First create an equation in slope-intercept form, y = mx + b. To do this, find the rate of change or slope (m), and the y-intercept (b).
Using two pairs, (-7, -3) and (-8, -4),

m = 1
To find b, substitute m = 1, x = -7 and y = -3 into y = mx + b.
Thus:
-3 = (1)(-7) + b
-3 = -7 + b
-3 + 7 = b
4 = b
b = 4.
Replace y with f(x), m with 1 and b with 4 in y = mx + b.
The function would be:

Answer:
Step-by-step explanation: