Question

If f(x) =3x^2 +1 and g(x) = 1 -x, what is the value of (f-g) (2)?

Answer 1

14

Explanation:

(f-g)(2) means f of x minus g of x when x equals 2.

To solve, first set up the equation

`(3x^2}+1)-(1-x)`

Change the signs in the second part. {because this is subtraction}

`3x^2}+1-1+x`

Replace x with 2.

`3(2^2})+1-1+2`

Solve.

`3(4)+2`

`12+2`

`14`

Answer 2

(f-g)(2) = 14

Explanation:

f(x) =3x^2 +1 and g(x) = 1 -x

f(2) = 3(2)^2 +1 = 3(4)+1 = 12+1 = 13

g(2) = 1-2 = -1

f(2) - g(2) = 13 - -1 = 13+1 =14