What is the value of the function y=1 over 8x−13 when x=−4 ?(1 point)
Responses
A.−15
B.−13.5
C.−12.5
D.−16
To find the value of the function when x = -4, we substitute -4 into the function:
y = 1/(8x - 13)
y = 1/(8(-4) - 13)
y = 1/(-32 - 13)
y = 1/(-45)
y = -1/45
Thus, the value of the function y = 1/(8x -13) when x = -4 is -1/45.
Therefore, option D. -16 is not the correct answer.
choose the correct answer
Apologies for the mistake in the previous response. Let's calculate the correct answer:
Given the function y = 1/(8x - 13), we substitute x = -4 into the function:
y = 1/(8(-4) - 13)
y = 1/(-32 - 13)
y = 1/(-45)
y = -1/45
So, the correct answer is not listed. None of the given options A, B, C, or D are correct.
which one is closest to the answer
Apologies for the confusion. To find the value of the function y = 1/(8x - 13) when x = -4, we substitute -4 into the function:
y = 1/(8(-4) - 13)
y = 1/(-32 - 13)
y = 1/(-45)
y ≈ -0.0222
Since none of the given options (-15, -13.5, -12.5, -16) are close to -0.0222, none of them is the correct answer.
To find the value of a function, you simply need to substitute the given value of x into the function and evaluate it.
In this case, we have the function y = 1/(8x - 13) and we need to find its value when x = -4.
Substitute x = -4 into the function:
y = 1/(8 * (-4) - 13)
Now, let's simplify the expression inside the parenthesis:
y = 1/(-32 - 13)
Continuing to simplify:
y = 1/(-45)
Therefore, the value of the function when x = -4 is -1/45.
However, none of the given options match this result. It is possible that there is an error in the answer choices provided, or there may have been a typographical error in the expression or question.