Which of the following correctly transforms f(x)=x2+9

Question

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

25
25

14
14

34
34

26

Answer 1

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

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

Now we need to evaluate \( f(5) \) using the function \( f(x) = x^2 + 9 \):

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

Therefore, the correct answer is:

34