Question

F(t)=4t-2 g(t)=2t+2 Find (3f-4g)(t)

Answer 1

Key Concepts

• Solving composite functions

Solving the Question

We're given:

• 
  `f(t)=4t-2`
• 
  `g(t)=2t+2`

• 
  `(3f-4g)(t)=?`

`(3f-4g)(t)` is the same as
`3f(t)-4g(t)`. Now, we can just plug in the functions as if they're variables in an equation.

`3f(t)-4g(t)`

`= 3(4t-2)-4(2t+2)\\= 12t-6-8t-8\\= 4t-14`

Answer

`(3f-4g)(t)= 4t-14`