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Given f(x) = x² - 9, find the indicated values:

User Khuram
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1 Answer

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Final Answer:

Given
\(f(x) = x^2 - 9\, to find the indicated values, we'll solve for specific inputs:

a) f(3)

b) f(-4)

Step-by-step explanation:

a) To find f(3), substitute x = 3 into the function f(x).


\(f(3) = (3)^2 - 9 = 9 - 9 = 0\).

Hence, f(3) = 0).

b) For f(-4), substitute x = -4 into the function f(x).


\(f(-4) = (-4)^2 - 9 = 16 - 9 = 7\).

Therefore, f(-4) = 7.

Explanation:

To determine f(3), we substitute x = 3 into the function
\(f(x) = x^2 - 9\). By direct substitution,
\(f(3) = (3)^2 - 9\), which simplifies to 9 - 9 = 0. Therefore, f(3) = 0. This signifies that when the input is 3, the output of the function is 0.

Next, evaluating
\(f(-4)\) involves substituting
\(x = -4\) into the function. By direct substitution,
\(f(-4) = (-4)^2 - 9\), which simplifies to
\(16 - 9 = 7\). Consequently,
\(f(-4) = 7\). This indicates that when the input is -4, the output of the function is 7.

In summary,
\(f(3) = 0\) and
\(f(-4) = 7\) are the respective values obtained when the function
\(f(x) = x^2 - 9\) is evaluated at inputs 3 and -4, demonstrating the output corresponding to each specific input value.

User Eran Yogev
by
7.4k points

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