ClaybornP296242 ClaybornP296242
  • 03-11-2022
  • Mathematics
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If f(x-1) = 2x+3 for all values of x, what is the value of f(-3)?

If fx1 2x3 for all values of x what is the value of f3 class=

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EeveeS452965 EeveeS452965
  • 03-11-2022

First we need to solve

[tex]\begin{gathered} x-1=-3 \\ x-1+1=-3+1 \\ x+0=-2 \\ x=-2 \end{gathered}[/tex]

This means that to evaluate f(-3) we take x = -2. Now we replace in the equation of the function and we have

[tex]\begin{gathered} f(-3)=2\cdot(-2)+3 \\ =-4+3 \\ =-1 \end{gathered}[/tex]

The answer is D) -1

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