Question

H(x)=(x^(2)+14x+48)/(x^(2)-16) ind h(-4). Simplify your answer as much

Answer 1

The function h(-4) is undefined because it results in division by zero.

Step-by-step explanation:

To find h(-4) for the function h(x) = (x2 + 14x + 48) / (x2 - 16), we need to substitute x with -4 and simplify the expression. First, let's evaluate the numerator and the denominator separately:

• Numerator: (-4)2 + 14(-4) + 48 = 16 - 56 + 48 = 8
• Denominator: (-4)2 - 16 = 16 - 16 = 0

Therefore, h(-4) would be 8 / 0, which is undefined as division by zero is not possible. Thus, h(-4) does not exist.