Solve f(x)=x²: Finding the Input Value When f(x)=25

Complete:

The missing value of the function point:

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

f(?)=25 f(?)=25

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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
00:23 These are the 2 points
00:30 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(?)=25 f(?)=25

2

Step-by-step solution

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

  • Step 1: Set up the equation based on the function f(x)=x2 f(x)=x^2 for f(?)=25 f(?)=25 .
  • Step 2: Solve for x x by applying the square root operation.

Now, let's work through each step:
Step 1: We start with the equation x2=25 x^2 = 25 derived from f(x)=25 f(x) = 25 .
Step 2: To solve for x x , we take the square root of both sides:

x=±25 x = \pm \sqrt{25}

Calculating the square root gives us x=±5 x = \pm 5 . However, we are looking for a specific point that fits one of the answer choices:
Therefore, the solution based on the choices provided is x=5 x = 5 .

Concluding, the missing value of the function point is f(5) f(5) , which coincides with choice 1.

3

Final Answer

f(5) f(5)

Practice Quiz

Test your knowledge with interactive questions

What is the value of y for the function?

\( y=x^2 \)

of the point \( x=2 \)?

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