Final answer:
To find the value of f(−3) for the function f(x) = x² − 3, we substitute x with −3, yielding f(−3) = 6.
Step-by-step explanation:
The question asks for the value of f(−3) in the function f(x) = x² − 3. To find this, we substitute x with −3 and perform the calculation:
f(−3) = (−3)² − 3 = 9 − 3 = 6
To find f(−3) in the function f(x) = x² − 3, substitute −3 for x. Therefore, f(−3) = (−3)² − 3 = 9 − 3 = 6. When you plug in −3 for x and evaluate, the function outputs 6. This happens because you square −3, which yields 9, and then subtract 3, resulting in the final value of 6.
In essence, the function squares the input, and subtracts 3 from the result, capturing the essence of the mathematical operation. So, for the given function, f(−3) is equal to 6, providing a clear numerical understanding of the expression.
Therefore, the value of f(−3) is 6.