Respuesta :
Step-by-step explanation:
(f o g)(x)
= f(3x² - 5)
= (3x² - 5) + 2
= 3x² - 3.
[tex]\text{Given that,}\\\\f(x) =x+2\\\\g(x) = 3x^2 -5\\\\\\(f-g)(x) =f(x) -g(x)\\\\~~~~~~~~~~~~~~=x+2 - 3x^2 +5\\\\~~~~~~~~~~~~~~=-3x^2 +x +7[/tex]
Step-by-step explanation:
(f o g)(x)
= f(3x² - 5)
= (3x² - 5) + 2
= 3x² - 3.
[tex]\text{Given that,}\\\\f(x) =x+2\\\\g(x) = 3x^2 -5\\\\\\(f-g)(x) =f(x) -g(x)\\\\~~~~~~~~~~~~~~=x+2 - 3x^2 +5\\\\~~~~~~~~~~~~~~=-3x^2 +x +7[/tex]