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

Answer 1

To transform f(x) = x^2 + 9 to f(2x + 1), we substitute (2x + 1) in place of x, and simplify.

f(2x + 1) = (2x + 1)^2 + 9

Now, we substitute x = 2 in the expression above to find the value:

f(2(2) + 1) = (2(2) + 1)^2 + 9
= (4 + 1)^2 + 9
= 5^2 + 9
= 25 + 9
= 34

So, f(2x + 1) for x = 2 is equal to 34.