if $f(x) = 2x^2 + 1$, what is $f(x)$ when $x = 3$?\n\\bigcirc\\ 1\n\\bigcirc\\ 7\n\\bigcirc\\…

if $f(x) = 2x^2 + 1$, what is $f(x)$ when $x = 3$?\n\\bigcirc\\ 1\n\\bigcirc\\ 7\n\\bigcirc\\ 13\n\\bigcirc\\ 19

if $f(x) = 2x^2 + 1$, what is $f(x)$ when $x = 3$?\n\\bigcirc\\ 1\n\\bigcirc\\ 7\n\\bigcirc\\ 13\n\\bigcirc\\ 19

Answer

Explanation:

Step1: Substitute x = 3 into the function

We have the function ( f(x) = 2x^2 + 1 ). Substitute ( x = 3 ) into it, so we get ( f(3)=2\times(3)^2 + 1 ).

Step2: Calculate the power

First, calculate ( 3^2 ), which is ( 3\times3 = 9 ). So now the expression becomes ( f(3)=2\times9 + 1 ).

Step3: Calculate the multiplication

Calculate ( 2\times9 = 18 ). Then the expression is ( f(3)=18 + 1 ).

Step4: Calculate the addition

Add 18 and 1, we get ( 18 + 1 = 19 ).

Answer:

19 (corresponding to the option: 19)