Question

Let f(x) = x2 − 2x + 2 and g(x) = x − 3. Find f(x) ⋅ g(x). x3 − 6x2 + 12x − 6 x3 − 5x2 + 8x − 6 x3 − 3x2 + 6x − 6 x3 − 2x2 + 5x − 6

Answer 1

Answer: Option 2 is correct

$x^3-5x^2+8x-6$

Explanation:

We have been given two functions $f(x)=x^2-2x+2 \\\\and\\g(x)=x-3$

we need to find f(x).g(x)  

We need to multiply the given two functions

So, as to multiply $(x^2-2x+2)(x-3)$

Multiply each term of f(x) with g(x) we will get

$x^2(x-3)=x^3-3x^2$

$-2x(x-3)=-2x^2+6x$

$2(x-3)=2x-6$

Hence the final result after multiplying both the functions is

$x^3-5x^2+8x-6$

Answer 2

f(x) = x2 - 2x + 2
g(x) = x - 3

(f • g)(x) = (x2 - 2x + 2)(x - 3)
(f • g)(x) = x2(x - 3) - 2x(x - 3) + 2(x - 3)
(f • g)(x) = x3 - 3x2 - 2x2 + 6x + 2x - 6
(f • g)(x) = x3 - 5x2 + 8x - 6

The answer is B.