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Given the function f(x)=3-2x^2, find k such that f(k)=-3

Sagot :

Answer:

k = ±√3

Step-by-step explanation:

Given :

  • f(x) = 3 - 2x²
  • f(k) = -3

To find the value of k, we need to equate both the functions to find the value of x such that it is equal to the value of k.

  • ⇒ 3 - 2x² = -3
  • ⇒-2x² = -6
  • ⇒ x² = 3
  • ⇒ x = ±√3

We already set a relation before, which is :

  • x = k
  • Therefore, k = ±√3
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