Hardy Bush
04/20/2023 · Junior High School
Sea \( f(x)=5 x^{2}-2 x+3 \) y \( g(x)=x^{2}-2 \) Halla \( f+g \) Halla \( f-g \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
Para encontrar \( f + g \) y \( f - g \), primero definimos las funciones dadas:
\[
f(x) = 5x^2 - 2x + 3
\]
\[
g(x) = x^2 - 2
\]
### Hallando \( f + g \)
Sumamos las dos funciones:
\[
f + g = f(x) + g(x) = (5x^2 - 2x + 3) + (x^2 - 2)
\]
Ahora combinamos los términos semejantes:
\[
f + g = (5x^2 + x^2) + (-2x) + (3 - 2)
\]
\[
f + g = 6x^2 - 2x + 1
\]
### Hallando \( f - g \)
Restamos \( g \) de \( f \):
\[
f - g = f(x) - g(x) = (5x^2 - 2x + 3) - (x^2 - 2)
\]
Nuevamente, combinamos los términos semejantes:
\[
f - g = (5x^2 - x^2) + (-2x) + (3 + 2)
\]
\[
f - g = 4x^2 - 2x + 5
\]
### Resultados finales
Por lo tanto, los resultados son:
\[
f + g = 6x^2 - 2x + 1
\]
\[
f - g = 4x^2 - 2x + 5
\]
Quick Answer
\[
f + g = 6x^2 - 2x + 1
\]
\[
f - g = 4x^2 - 2x + 5
\]
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
(0)
Ask Real Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
PREV 
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text
Enter your question here…
By image
Re-Upload
Uploaded Files
xxxx.png0%
Submit
