Find (f + g)(x) and its domain.

The domain of function( f+ g)(x) ( (-∞,∞))

Step-by-step explanation:

Given  ( f + g)x = f(x) +g(x)

The domain of function (f + g)(x)  is (-∞,∞)

Example:-

f(x) = 2 x² + 3x and  g(x) =  4x² +3

(f + g)(x) = f(x) +g(x)

             =  2 x² + 3x + 4 x² + 3

            =  6x ² + 3 x + 3

The domain of  (f + g) (x)  is ( -∞,∞))

3/5

step-by-step explanation:

double number line is not a standard concept, so it must have been defined in your textbook. assume top line is numerator.

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.