Question

if f(x)x^2-3x+4,find f(2x+1)​

Answer 1

Explanation:

1 Answer +1 vote answered Mar 16, 2020 by RahulYadav (53.1k points) selected Mar 17, 2020 by Prerna01 Given as f(x) = x2 – 3x + 4. Let us find the x satisfying f (x) = f (2x + 1). Here, we have, f(2x + 1) = (2x + 1)2 – 3(2x + 1) + 4 = (2x) 2 + 2(2x) (1) + 12 – 6x – 3 + 4 = 4x2 + 4x + 1 – 6x + 1 = 4x2 – 2x + 2 Then, f (x) = f (2x + 1) x2 – 3x + 4 = 4x2 – 2x + 2 4x2 – 2x + 2 – x2 + 3x – 4 = 0 3x2 + x – 2 = 0 3x2 + 3x – 2x – 2 = 0 3x(x + 1) – 2(x + 1) = 0 (x + 1)(3x – 2) = 0 x + 1 = 0 or 3x – 2 = 0 x = –1 or 3x = 2 x = –1 or 2/3 Thus, the values of x are –1 and 2/3.Read more on Sarthaks.com - https://www.sarthaks.com/651267/if-f-x-x-2-3x-4-then-find-the-values-of-x-satisfying-the-equation-f-x-f-2x-1