Question

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

Answer 1

k = ±√3

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