contestada

f(x) = 3V4x
g(x) = 6x + 1
Find
(f/g) (x). Include any restrictions on the domain.
-
6.2+1
6.2+1
O A () (a) = *** -6
O B. (1) (a) = 0,20
Oc () () = 30
OD (1) (x) = 4+++
62+1
14.2
42
6.0+1:

fx 3V4x gx 6x 1 Find fg x Include any restrictions on the domain 621 621 O A a 6 O B 1 a 020 Oc 30 OD 1 x 4 621 142 42 601 class=

Respuesta :

Answer:

D

Step-by-step explanation:

([tex]\frac{f}{g}[/tex] )(x)

= [tex]\frac{f(x)}{g(x)}[/tex]

= [tex]\frac{\sqrt[3]{4x} }{6x+1}[/tex] ; x ≠ - [tex]\frac{1}{6}[/tex]

The denominator cannot be zero as this would make the expression undefined.

Equating the denominator to zero and solving gives the value that x cannot be.

6x + 1 = 0 ( subtract 1 from both sides )

6x = - 1 ( divide both sides by 6 )

x = - [tex]\frac{1}{6}[/tex] ← restricted value

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