Question

Let k(x) = -x^2 + 4x - 16. What is the value of k(9)?

Answer 1

The value of k(9) for the function k(x) = -x^2 + 4x - 16 is calculated by substituting x with 9. The operations yield k(9) = -81 + 36 - 16, which simplifies to -61.

Step-by-step explanation:

The value of k(9) is obtained by substituting x with 9 in the given function k(x) = -x^2 + 4x - 16. We calculate as follows:

• Substitute x with 9: k(9) = -(9)^2 + 4(9) - 16.
• Calculate the square of 9: k(9) = -81 + 4(9) - 16.
• Multiply 4 by 9: k(9) = -81 + 36 - 16.
• Add and subtract the numbers: k(9) = -81 + 36 - 16 = -61.

Therefore, the value of k(9) is -61.