gh1lifer gh1lifer
  • 17-05-2021
  • Mathematics
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Use piece wise function to answer f(0)=

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MrRoyal
MrRoyal MrRoyal
  • 22-05-2021

Answer:

[tex]f(0) = 0[/tex]

Step-by-step explanation:

Given

See attachment

Required

Determine f(0)

To solve for f(0), we make use of:

[tex]f(t) = \frac{t^3}{t + 9}[/tex]

Because: [tex]t \ge -2[/tex] is true for [tex]t =0[/tex]

So, we have:

[tex]f(t) = \frac{t^3}{t + 9}[/tex]

[tex]f(0) = \frac{0^3}{0 + 9}[/tex]

[tex]f(0) = \frac{0}{9}[/tex]

[tex]f(0) = 0[/tex]

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