Answer:
[tex]f(x)+g(x)=5x^{3} +4x^{2}+x-8[/tex]
Step-by-step explanation:
Given:
Two functions are given:
[tex]f(x)=5x^{3} +3x^{2} -3[/tex]
[tex]g(x)=x^{2} +x-5[/tex]
Find [tex]f(x)+g(x)[/tex]
Solution:
[tex]f(x)+g(x)=(5x^{3} +3x^{2} -3)+(x^{2} +x-5)[/tex]
[tex]f(x)+g(x)=5x^{3} +3x^{2} -3+x^{2} +x-5[/tex]
[tex]f(x)+g(x)=5x^{3} +(3x^{2} +x^{2})+x-3-5[/tex]
[tex]f(x)+g(x)=5x^{3} +4x^{2}+x-8[/tex]
Therefore, the function of [tex]f(x)+g(x)=5x^{3} +4x^{2}+x-8[/tex]
