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

Complete:

The missing value of the function point:

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

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

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Set up and solve
00:04 We'll substitute appropriate values according to the given data, and solve for X
00:12 Extract the root
00:17 When extracting a root there are 2 solutions, positive and negative
00:20 These are the 2 points
00:25 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Complete:

The missing value of the function point:

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

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

2

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.

3

Final Answer

Answer A+C

Practice Quiz

Test your knowledge with interactive questions

Complete:

The missing value of the function point:

\( f(x)=x^2 \)

\( f(?)=16 \)

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Parabola Families questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations