Answered

if f(x)=3x^2-4 and g(x)=x+2, find (f-g)(x)

Verified Answer :

F(x)=3x^2-4
g(X)=x+2
(f-g)x=f(x)-g(x)
        =3x^2-4-x-2
        =3x^2-x-6

vijayhalder031

(f-g)(x) is \(3x^2-x-6\)

How to solve this problem?

The problem can be solved by following steps

  • f(x) =3x^2-4 (given)
  • g(x) = x+2 (given)

We need to find  (f-g)(x)

Therefore,

(f-g)(x) = f(x)-g(x)

             \(=(3x^2-4) - (x+2)\\= 3x^2-4-x-2\\=3x^2-x-6\)

  • In step 1 we substituted the value of f(x) and g (x)
  • We opened the brackets in step 2
  • We solved the equation in step 2 and wrote the final answer in step 3

Hence  (f-g)(x) is \(3x^2-x-6\)

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