bigo1337 bigo1337
  • 01-02-2018
  • Mathematics
contestada

What is the graph of the function f(x) = the quantity of x squared minus 7 x plus 12, all over x minus 3

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FelisFelis FelisFelis
  • 01-07-2019

Answer:

The given function is [tex]y=\frac{\left(x^2-7x+12\right)}{x-3}[/tex]

factor the [tex]x^2-7x+12[/tex]

Re- write above as,

[tex]x^2-4x-3x+12[/tex]

[tex]x(x-4)-3(x-4)[/tex]

[tex](x-4)(x-3)[/tex]

The function as:

[tex]y=\frac{(x-4)(x-3)}{x-3}[/tex]

and simplifies to

f(x) = x -4 . . . . . . . . x ≠ 3

The graph is straight line y = x-4, with a hole at x=3.

The graph is shown in figure-1

Ver imagen FelisFelis
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