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

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

26
26

14
14

34
34

25

1 answer

To find \( f(2x + 1) \) for \( f(x) = x^2 + 9 \) and \( x = 2 \), we first need to substitute \( x = 2 \) into the expression \( 2x + 1 \):

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

Next, we evaluate \( f(5) \):

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

So the correct option is:

34

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