NimritG592922 NimritG592922
  • 29-10-2022
  • Mathematics
contestada

f(x) = x^2 + 5 and g(x) = 6x - 15 find (g•f)(2)

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LeonoraB179219 LeonoraB179219
  • 29-10-2022
[tex]\begin{gathered} f(x)=x^2+5 \\ g(x)=6x-15 \end{gathered}[/tex]

Composition of functions:

[tex](g\circ f)(x)=g(f(x))[/tex][tex](g\circ f)(x)=6(x^2+5)-15[/tex][tex]\begin{gathered} (g\circ f)(x)=6x^2+30-15 \\ (g\circ f)(x)=6x^2+15 \end{gathered}[/tex]

Evaluate to x=2:

[tex]\begin{gathered} (g\circ f)(2)=6(2)^2+15 \\ (g\circ f)(2)=6\cdot4+15 \\ (g\circ f)(2)=24+15 \\ (g\circ f)(2)=39 \end{gathered}[/tex]

Then, (g•f)(2) is:

[tex](g\circ f)(2)=39[/tex]

Answer Link

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