Math Problem Statement

g(x) = x2 - 5x + 2, when x = -1

Solution

To evaluate the function g(x)=x25x+2g(x) = x^2 - 5x + 2 when x=1x = -1, substitute x=1x = -1 into the equation:

g(1)=(1)25(1)+2g(-1) = (-1)^2 - 5(-1) + 2

Simplifying:

g(1)=1+5+2=8g(-1) = 1 + 5 + 2 = 8

So, g(1)=8g(-1) = 8.

Would you like more details on how this was calculated?


Here are 5 related questions to expand your understanding:

  1. How would you evaluate g(x)g(x) when x=2x = 2?
  2. Can you find the vertex of the quadratic function g(x)=x25x+2g(x) = x^2 - 5x + 2?
  3. What is the value of g(x)g(x) when x=0x = 0?
  4. How do you determine the axis of symmetry for the quadratic function g(x)g(x)?
  5. Can you find the roots of g(x)=0g(x) = 0?

Tip: Always check your sign when substituting negative values into an equation!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Quadratic Equations
Function Evaluation

Formulas

Quadratic equation formula: ax^2 + bx + c

Theorems

-

Suitable Grade Level

Grades 7-9