Question

If f(x) = 3x2 – 5x + 7 find f(x - 1).​

Answer 1

Answer:

f ( x - 1 ) = 3(x-1)² - 5(x-1) + 7

f ( x - 1 ) = 3(x²-1) - 5x - 5 + 7

f ( x - 1 ) = 3x² - 3 - 5x - 5 + 7

f ( x - 1 ) = 3x² - 5x - 8 + 7

f ( x - 1 ) = 3x² - 5x - 7

Answer 2

Answer:

f(x) = 3x2 – 5x + 7

f(x-1) = 3 (x-1)² - 5(x-1) + 7

3 (x² + 1 - 2x) - 5x + 5 + 7

3x² + 3 - 6x - 5x + 12

3x² - 11x + 15

Factors of 3x² - 11x + 15 =

3x² - 11x + 15

3x² - 6x - 5x + 15

3x(x-2) - 5(x-3)

(3x-5)(x-2)(x-3)