To solve this problem, we'll follow these steps:
- Step 1: Set up the equation from the function definition.
- Step 2: Solve the equation by taking the square root of both sides.
- Step 3: Identify all possible values for x.
- Step 4: Compare with the given answer choices.
Now, let's work through each step:
Step 1: We start with the equation given by the function f(x)=x2. We know f(?)=16, so we can write:
x2=16
Step 2: To solve for x, we take the square root of both sides of the equation:
x=±16
Step 3: Solve for 16:
The square root of 16 is 4, so:
x=4 or x=−4
This gives us the two solutions: x=4 and x=−4.
Step 4: Compare these solutions to the answer choices. The correct choice is:
f(4) and f(−4)
Therefore, the solution to the problem is f(4) and f(−4).
Answer:
f(4)f(−4)