Given that f(x) = x^2 - 4x +1, find the value of m if f(m) = -3
(b) if f(k) = x^2 - 7x + 14
(i) obtain f(k)
(ii) find the value of f(k) = 4

a.  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

b.  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

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so: