Question

Given f(x) = 3x - 1, find f(2).
2
4
5
1

Answer 1

`f(2)=5`

Explanation:

Givens

We are given a function f(x) = 3x - 1.

We are asked to find f(2).

Further Information

First, note that f(x) is also y. In addition, any variables can be used, such as g(x) or y(f).

Either way, as long as the variable in the parentheses is present in the equation, the number that is in its place can be substituted as the variable in the function.

Example

Therefore, in an instance of f(3) = 3x + 1:

`f(3)=3x+1\\\\f(3)=3(3)+1\\\\f(3)=9+1\\\\f(3)=10`

Solve

First, substitute 2 as x in f(x):

`f(x)=3x-1\\\\f(2)=3x-1`

Then, substitute 2 as x in the equation:

`f(2)=3x-1\\\\f(2)=3(2)-1\\\\f(2)=6-1\\\\f(2)=5`

Final Answer

Therefore, f(2) = 5.