Question

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Answer 1

(2, -3) , (3, -3)

Explanation:

One is asked to find what values of the parameter (x) will yield the result (f(x)=-3) if the function (f(x)) is the following,

`f(x)=x^2-5x+3`

Set this equation up, and solve to find the value of (x) that satisfies this requirement:

`f(x)=x^2-5x+3=-3`

Inverse operations,

`x^2-5x+6=0`

Factor, rewrite the quadratic equation as the product of two linear equations,

`(x-2)(x-3)=0`

Therefore the solutions are the following, the (x-coordinate) represents the input, and the (y-coordinate) represents the output.

(2, -3), (3, -3)

Answer 2

(2, -3), (3, -3)

Explanation:

y = x^2 - 5x + 3

y = -3

x^2 - 5x + 3 = -3

x^2 - 5x + 6 = 0

(x - 3)(x - 2) = 0

x - 3 = 0 or x - 2 = 0

x = 3 or x = 2

We are given y = -3.

Answer: (2, -3), (3, -3)