Question

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

A) 12
B) 14
C) 36
D) 38

Answer 1

the answer is 14 you just have to substitute x with the given number and finish the equation

Answer 2

(f – g)(2) = 12.

Explanation:

Given : f(x) = 3x²+1 and g(x) =1-x .

To find : which expression is equivalent to (f – g)(2).

Solution : We have given f(x) = 3x²+1 and g(x) = 1-x .

(f – g)(2) = f (2 ) - g(2) .

g(x) = 1-x .

Plug x = 2 .

g(2) = 1 - 2 .

g(2) = - 1.

For f(x) =3x²+1

Plug x = 2

f( 2) =3 (2)²+1.

f(2) = 12 + 1.

f(2) = 13 .

Then , (f – g)(2) = f (2 ) - g(2) .

Plugging the values

(f – g)(2) = -1 + 13

(f – g)(2) = 12

(f – g)(2) = 12.

Therefore, (f – g)(2) = 12.