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

Question

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

34
34

26
26

14
14

25

Answer 1

To find \( f(2x + 1) \) for \( x = 2 \), we first need to substitute \( x = 2 \) into \( 2x + 1 \) and then evaluate \( f \) at that new value.

1. Calculate \( 2x + 1 \) for \( x = 2 \): \[ 2(2) + 1 = 4 + 1 = 5 \]

2. Now, evaluate \( f(5) \) using the function \( f(x) = x^2 + 9 \): \[ f(5) = 5^2 + 9 = 25 + 9 = 34 \]

Thus, the correct transformation \( f(2x + 1) \) for \( x = 2 \) gives the result of \( 34 \). The answer is:

34