Question

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

Answer 1

a. Answer: m = 2

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

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