2. What is the composition f(g(x)) and the inverse of the composite (fog) given f(x) = 2x + 3 and g(x) = x-5?​

f(g(x)) = 2x - 7

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

Step-by-step explanation:

basically, you just want to plug in the g(x) function wherever you see an x in the f(x) function

f(g(x)) = 2(x - 5) + 3

         = 2x - 10 + 3

         = 2x - 7

the inverse function is doing the same thing but plugging in f(x) wherever you see an x in the g(x) function

g(f(x)) = (2x + 3) - 5

         = 2x + 3 - 5

         = 2x -2

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

just keep asking questions until you have a better understanding.

step-by-step explanation: