Question

What element in the domain has image 7 in the function f(x) = x²– 2?a. 3 b) 9 c) -1 d) 4

Answer 1

Here,

f(x) = 7

x = ?

Now,

f(x) = x^2 - 2

or, 7 = x^2 - 2

or, 7 + 2 = x^2

or, x^2 = 9

◆ x = 3

a) 3

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Answer 2

Answer:

$f(x) = 7 \\ f(x) = {x}^{2} - 2 \\ {x}^{2} - 2 = 7 \\ {x}^{2} = 2 + 7 \\ {x}^{2} = 9 \\ x = \sqrt{9} \\ \boxed{x = 3}$

Therefore, 3 is the element in the domain which has the image 7 in function f(x)=x²-2

• A. 3 is the right answer.