Respuesta :
[tex]\bf \begin{cases}
f(x)=x^2-2\\
g(x)=5x-8\\
(g\circ f)(x)\implies g(~~f(x)~~)
\end{cases}
\\\\\\
g(~~f(x)~~)=5[f(x)]~-~8\implies 5[x^2-2]~-~8
\\\\\\
~~~~~~~~~~~~~~~~~~ 5x^2-10-8\implies 5x^2-18[/tex]
The composite function (g o f)(x) of f(x) and g(x) is 5x^2-18.
We have given that,
f(x)= x^2-2, g(x)=5x-8
What is the value of (g o f)(x)?
The value of (g o f)(x)=g(f(x)
g(f(x)=5(f(x))-8
=5(x^2-2,)-8
=5x^2-10-8
=5x^2-18
Therefore the composite function of f(x) and g(x) is 5x^2-18.
To learn more about the composite function visit:
https://brainly.com/question/10687170
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