QuintinF310297 QuintinF310297
  • 29-10-2022
  • Mathematics
contestada

Given f(t)=t^2-t and h(x)=3x+2 evaluate h(f(2))

Respuesta :

JayelynnK384895 JayelynnK384895
  • 29-10-2022

First, we need to evaluate f(2). Then, by substituting t=2 into function f(t), we have

[tex]\begin{gathered} f(2)=2^2-2 \\ \end{gathered}[/tex]

which gives

[tex]f(2)=2[/tex]

Next, we need to evalutate h(f(2))=h(2). Then, by substituting x=2 into function h(x), we get

[tex]\begin{gathered} h(2)=3(2)+2 \\ h(2)=6+2 \\ h(2)=8 \end{gathered}[/tex]

Therefore, the answer is h(f(2))=8

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