Solve Quadratic Function f(x) = x²: Finding Input When f(x) = 9

Question

Complete:

The missing value of the function point:

f(x)=x2 f(x)=x^2

f(?)=9 f(?)=9

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Set up the equation x2=9 x^2 = 9 .
  • Step 2: Solve for x x by taking the square root of both sides.
  • Step 3: Choose the correct answer from the given options.

Now, let's work through each step:
Step 1: We set x2=9 x^2 = 9 .
Step 2: Solving for x x , we take the square root of both sides: x=±9 x = \pm \sqrt{9} .
Step 3: This yields two solutions: x=3 x = 3 and x=3 x = -3 .

Comparing these values with the given choices:

  • Choice 1: f(3) f(3) corresponds to x=3 x = 3 .
  • Choice 3: f(3) f(-3) corresponds to x=3 x = -3 .

Both choices f(3) f(3) and f(3) f(-3) are correct, leading us to select the combined choice: Answer A+C.

Answer

Answer A+C