Answer:
At x = 4 ⇒ g(x) = f(2)
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)