If f(x) = |(x^3 , 2x^2 + 1 , 1 + 3x), (3x^2 + 2 , 2x , x^3 + 6), (x^3 - x , 4 , x^2 - 2)|, then the value of 2f(0) + f(0) is equal to

Question

If f(x) = \(\begin{vmatrix} x^3 & 2x^2 + 1 & 1+3x \\ 3x^2+2 & 2x & x^3 + 6 \\ x^3-x & 4 & x^2 -2 \end{vmatrix}\), then the value of 2f(0) + f(0) is equal to 

(1) 18 

(2) 54 

(3) 48 

(4) 42

Answer 1

Correct option is (4) 42

= –6 + 0 + 24 = 18 

⇒ 2f(0) + f(0) = 2 × 12 + 18 = 42