Answered

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If [tex]\( f(x) = 2x^2 + 1 \)[/tex], what is [tex]\( f(x) \)[/tex] when [tex]\( x = 3 \)[/tex]?

A. 1
B. 7
C. 13
D. 19

Sagot :

GinnyAnswer
To determine the value of the function [tex]\( f(x) = 2x^2 + 1 \)[/tex] when [tex]\( x = 3 \)[/tex], we will follow these steps:

1. Substitute [tex]\( x = 3 \)[/tex] into the function [tex]\( f(x) \)[/tex]:

[tex]\[ f(3) = 2(3)^2 + 1 \][/tex]

2. Calculate the value inside the parentheses first:

[tex]\[ 3^2 = 9 \][/tex]

3. Multiply the result by 2:

[tex]\[ 2 \times 9 = 18 \][/tex]

4. Add 1 to the result:

[tex]\[ 18 + 1 = 19 \][/tex]

So, [tex]\( f(3) = 19 \)[/tex].

Therefore, the correct answer is [tex]\( \boxed{19} \)[/tex].
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