Question

If f(x)=2x+1, what would be the first step to find f(1)

Answer 1

Answer:
First step: plug 1 in for x
f(1)=3

Step-by-step explanation:
We are given the function
f(x)=2x+1
We want to find f(1). Therefore, the first step would be plugging 1 in for each x.
f(1)=2(1)+1
If we want to find the answer, solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition and Subtraction.
Multiply 2 and 1.
f(1)=2+1
Add 2 and 1.
f(1)=3

The first step is plugging 1 in for x. The final answer is f(1)=3

Answer 2

We are given a defined function: f(x) = 2x + 1. This function is the same as saying y = 2x + 1 (y and f(x) are used interchangeably and are the same value - just a different way of representing it). Because we want to find f(1), math states that if you replace one variable with a value, you must replace all of the same variables with that value. Because of this, if we change f(x) to f(3x), we are declaring that the variable x has a value of 3x. Or, if we were to change f(g) to f(3g + 4), we would then be replacing the g's in the function with 3g + 4.

Using these examples, we can the find the value of f(1). We would simply replace the x-values in the function with the value of 1 and then take any operations necessary - be sure to use PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.

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

Therefore, the first step to solve the problem would be to replace the x-values in the equation with the value of 1. From there, you would simplify your equation and find what the value of the function is if evaluated at f(1).

Hope this helps! :)