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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)