Respuesta :

theleangreenbean

Key Concepts

  • Subtracting functions

Solving the Question

We're given:

  • [tex]f(x)=3x^2+7[/tex]
  • [tex]g(x)=x^3+5x^2-3[/tex]
  • [tex]h(x)=7x^2+x[/tex]
  • [tex]t(x)=f(x)-g(x)[/tex]

To solve for t(x), we simply plug in the expressions given for f(x) and g(x):

[tex]t(x)=f(x)-g(x)\\t(x)=(3x^2+7)-(x^3+5x^2-3)[/tex]

[tex]t(x)=3x^2+7-x^3-5x^2+3\\t(x)=-x^3+3x^2-5x^2+7+3\\t(x)=-x^3-2x^2+10[/tex]

Answer

[tex]t(x)=-x^3-2x^2+10[/tex]