Let f(x) = x² - 2x + 2 and g(x) = x - 3. Find f(x).g(x)?

Solution:

Given:

Functions are f(x) = x² - 2x + 2 and g(x) = x - 3

We have to find f(x).g(x)

f(x).g(x) = (x² - 2x + 2)(x - 3)

Using the multiplicative distributive property

f(x).g(x) = x³ - 3x² - 2x² + 6x + 2x - 6

By further simplification,

f(x).g(x) = x³ - 5x² + 8x - 6

Therefore, the value of f(x).g(x) = x³ - 5x² + 8x - 6

Let f(x) = x² - 2x + 2 and g(x) = x - 3. find f(x).g(x)?

Summary:

Let f(x) = x² - 2x + 2 and g(x) = x - 3. The value of f(x).g(x) = x³ - 5x² + 8x - 6.