EnvyC12314 EnvyC12314
  • 30-10-2022
  • Mathematics
contestada

Given the definitions of f(x) and g(x) below, find the value of (gof)(1).f(x) = 3x^2 – 5x – 1 g(x) = 2x – 12

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DannonO790522 DannonO790522
  • 30-10-2022

Remember that, for the definition of a function composition:

[tex](f\circ g)(x)=f(g(x))[/tex]

Then:

[tex](f\circ g)(1)=f(g(1))[/tex]

Evaluate g taking x=1 :

[tex]\begin{gathered} g(x)=2x-12 \\ \Rightarrow g(1)=2(1)-12 \\ =2-12 \\ =-10 \end{gathered}[/tex]

Since g(1)=-10, then:

[tex]f(g(1))=f(-10)[/tex]

Evaluate f at x=-10:

[tex]undefined[/tex]

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