Which of the following correctly transforms f(x)=x2+9 to f(2x+1) for x=2?(1 point)

Question

Responses

25
25

26
26

34
34

14

Answer 1

To transform the function \( f(x) = x^2 + 9 \) to \( f(2x + 1) \) at \( x = 2 \), we first need to compute \( 2x + 1 \) when \( x = 2 \):

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

Now, we will evaluate \( f(5) \):

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

Thus, the correct transformation \( f(2x + 1) \) for \( x = 2 \) gives us:

\[ \boxed{34} \]