Given f (x) = 3x-1 and g (x) = 2x-3, for what value of x does g (x) = f (2) ?

At x = 4 ⇒ g (x) = f (2)

Step-by-step explanation:

* In the functions f (x) = 3x - 1 and g (x) = 2x - 3, the domain is

the values of x and the range is the values of y

∵ g (x) = f (2)

* Then you will use the range of f (x) at x = 2 to find the domain of g (x)

∵ The domain of f (x) = 2

∵ f (x) = 3x - 1

∴ f (2) = 3 (2) - 1 = 6 - 1 = 5

* The range of f (x) = 5

∵ f (2) = g (x)

∴ 5 = g (x)

∵ g (x) = 2x - 3

∴ 2x - 3 = 5 ⇒ add 3 to both sides

∴ 2x = 8 ⇒ divide both sides by 2

∴ x = 4

* At x = 4 ⇒ g (x) = f (2)