Let f: R → R be given as f(x) = 4x² + 2, then value of f(1) equals?

Question image

Understand the Problem

The question is asking to calculate the value of the function f(x) = 4x² + 2 at x = 1. This involves substituting x with 1 into the given function and simplifying the expression to find the answer.

Answer

The value of \( f(1) \) is \( 6 \).
Answer for screen readers

The value of ( f(1) ) equals ( 6 ).

Steps to Solve

  1. Substitute the value of x into the function To find ( f(1) ), replace ( x ) in the function ( f(x) = 4x^2 + 2 ) with ( 1 ):

$$ f(1) = 4(1)^2 + 2 $$

  1. Calculate the square of 1 Calculating ( (1)^2 ):

$$ (1)^2 = 1 $$

  1. Multiply by 4 Now multiply by 4:

$$ 4 \times 1 = 4 $$

  1. Add 2 Finally, add 2:

$$ 4 + 2 = 6 $$

The value of ( f(1) ) equals ( 6 ).

More Information

This problem demonstrates how to evaluate a polynomial function by substituting a specific value for the variable, in this case, ( x = 1 ). The process involves basic arithmetic operations, including squaring, multiplication, and addition.

Tips

  • Forgetting to square first: Ensure that you square the value of ( x ) before performing other operations.
  • Misplacing parentheses: Miswriting the function or calculations can lead to incorrect results. Always check your substitutions and operations.

AI-generated content may contain errors. Please verify critical information

Thank you for voting!
Use Quizgecko on...
Browser
Browser