- Let f(x)= -6x + 3 and g(x) = 5x + 4. Find f•g and state its domain. A: -30x^2 - 9x + 12; all real numbers except x = 4

B: -30x^2 - 9x + 12; all real numbers

C: -18x^2 - 39x + 20; all real numbers

D: -18x^2 - 39x + 20; all real numbers except x = 1

The function is and the domain is all real numbers.

Step-by-step explanation:

Composition of functions is when one function is inside of another function.

The notation used for the composition of functions looks like this, .

We have the following functions

The composite function is

.

The domain is the set of all possible x-values which will make the function "work", and will output real y-values.

The function has no undefined points nor domain constraints. Therefore, the domain is or all real numbers.

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

step-by-step explanation:

use pothagarean therom

a^2+b^2=c^2 so first ac

acm is a right triangle because c= 90°

and am (the hypotenuse or c) =16+9 =25

but there is not enough info we need another angle or side length