Respuesta :

Answer:

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

Step-by-step 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)

Answer:

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

Step-by-step 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,

[tex]f(x)=x^2-5x+3[/tex]

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

[tex]f(x)=x^2-5x+3=-3[/tex]

Inverse operations,

[tex]x^2-5x+6=0[/tex]

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

[tex](x-2)(x-3)=0[/tex]

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

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

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