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  • 08-09-2021
  • Mathematics
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3. What is f(-3) if f(x) = |2x + 1] +5? (1 point) 0 10 12 or -10

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AlgebraicAardvark
AlgebraicAardvark AlgebraicAardvark
  • 08-09-2021

If [tex]f(x) = |2x+1|+5[/tex], then [tex]f(-3) = |2(-3)+1|+5[/tex].  You replace all x's in the function with -3.

   [tex]\begin{aligned}f(-3) &= |2(-3)+1|+5\\[0.5em]&= |-6+1|+5\\[0.5em]&= |-5|+5\endaligned}[/tex]

Finish by evaluating the absolute value and then adding that to the 5 that's behind the absolute value.

Can you finish it from there?

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