Question

Let f(x)=3x^2+7, g(x)=x^3+5x^2-3 and h(x)=7x^2+x a. what is the formula for t if t(x)=f(x)-g(x).

Answer 1

Key Concepts

• Subtracting functions

Solving the Question

We're given:

• 
  `f(x)=3x^2+7`
• 
  `g(x)=x^3+5x^2-3`
• 
  `h(x)=7x^2+x`
• 
  `t(x)=f(x)-g(x)`

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

`t(x)=f(x)-g(x)\\t(x)=(3x^2+7)-(x^3+5x^2-3)`

`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`

Answer

`t(x)=-x^3-2x^2+10`