Question

Given that f(x) = x^2 - 4x +1, find the value of m if f(m) = -3

Answer 1

a. Answer:  m = 2

Step-by-step explanation:

f(x) = x² - 4x + 1

f(m) = m² - 4m + 1 = -3

         m² - 4m + 4 = 0

         (m - 2)(m - 2) = 0

               m = 2

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b. Answer:  k = 2 and k = 5

Step-by-step explanation:

f(x) = x² - 7x + 14

f(k) = k² - 7k + 14 = 4

        k² - 7k + 10 = 0

        (k - 2)(k - 5) = 0

        k = 2   k = 5