Question

Equation: (g-P)(x) = g(x) - P(x) Substitute the given functions into the equation: (g-P)(x) = x + 5 - (x^2 + 3x + 2) Distribute the negative sign to the quantities in the parenthesis: (g-P)(x) = x + 5 - x^2 - 3x - 2 Simplify: (g-P)(x) = -x^2 - 2x + 3 Therefore, the difference of the functions g and P is -x^2 - 2x + 3.

Name: equation g px gx px substitute the given functions into the equation g px x 5 x2 3x 2 distribute the negative sign to the quantities in the parenthesis g px x 5 x2 3x 2 simplify g px x2 2x 3 04648
Uploaded: 2021-06-02T08:32:45-08:00
Duration: 1 min 47 s
Channel: Goutam Chand
Description: equation g px gx px substitute the given functions into the equation g px x 5 x2 3x 2 distribute the negative sign to the quantities in the parenthesis g px x 5 x2 3x 2 simplify g px x2 2x 3 04648

          Equation: (g-P)(x) = g(x) - P(x) 
Substitute the given functions into the equation: (g-P)(x) = x + 5 - (x^2 + 3x + 2) 
Distribute the negative sign to the quantities in the parenthesis: (g-P)(x) = x + 5 - x^2 - 3x - 2 
Simplify: (g-P)(x) = -x^2 - 2x + 3 
Therefore, the difference of the functions g and P is -x^2 - 2x + 3.

Added by Chelsea H.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Goutam Chand

06/02/2021

Step 1

Step 1: Substitute the given functions into the equation: (g-P)(x) = x + 5 - (x^2 + 3x + 2) Show more…

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Equation: (g-P)(x) = g(x) - P(x) Substitute the given functions into the equation: (g-P)(x) = x + 5 - (x^2 + 3x + 2) Distribute the negative sign to the quantities in the parenthesis: (g-P)(x) = x + 5 - x^2 - 3x - 2 Simplify: (g-P)(x) = -x^2 - 2x + 3 Therefore, the difference of the functions g and P is -x^2 - 2x + 3.