SenorMathWiz
SenorMathWiz SenorMathWiz
  • 08-12-2021
  • Mathematics
contestada

If [tex]f(x-1)=2x+3[/tex] for all values of x, what is the value of [tex]f(-3)[/tex]

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Аноним Аноним
  • 08-12-2021

[tex]\\ \sf\longmapsto f(x-1)=2x+3[/tex]

  • Think about the value f(x-1) and f(-3).
  • f(-3) can be written in the form of f(x-1) .

How?

[tex]\\ \sf\Rrightarrow f(-3)=f(-2-1)[/tex]

  • As -3=-2-1

Let's find x then

[tex]\\ \sf\Rrightarrow x-1=-3[/tex]

[tex]\\ \sf\Rrightarrow x=-3+1[/tex]

[tex]\\ \sf\Rrightarrow x=-2[/tex]

  • Now Substitute it in the function

[tex]\\ \sf\longmapsto f(-2-1)=2(-2)+3[/tex]

[tex]\\ \sf\longmapsto f(-3)=-4+3[/tex]

[tex]\\ \sf\longmapsto f(-3)=-1[/tex]

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