Respuesta :
Answer:
[tex]\left(f\:\circ \:g\right)\left(x\right)=\quad3x^2-13[/tex]
(3x² - 13)
Step-by-step explanation:
[tex]\left(f\:\circ \:g\right) = f(g(x))[/tex]
f(x) = 3x + 2
g (x) = x² - 5
substitute values:
f ( g ( x ) )
{plug in "g(x)" as the x in f(x)}
3x + 2
3(x² - 5) + 2 {distribute 3 to x² and -5}
3x² - 15 + 2 {combine like terms}
3x² - 13
[tex]\left(f\:\circ \:g\right)\left(x\right)=\quad3x^2-13[/tex]
(3x² - 13)
hope this helps!! :)