Which of the following correctly transforms f(x)=x^2+9

to f(2x+1)
for x=2
?(1 point)
Responses

25
25

26
26

34
34

14

1 answer

To find \( f(2x + 1) \) for the function \( f(x) = x^2 + 9 \) when \( x = 2 \), we first calculate \( 2x + 1 \):

\[ 2(2) + 1 = 4 + 1 = 5 \]

Now, we substitute this value into the function \( f(x) \):

\[ f(5) = 5^2 + 9 = 25 + 9 = 34 \]

So, the correct answer is \( 34 \).

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