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3 years ago

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

Mathematics

1 answer:

iragen [17]3 years ago

3 0

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

***************************************************

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

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