The binary operation * is defined by a * b = ab - 2a - 2b. Evaluate 2 * ( 3 * 4 ).

-4

Step-by-step explanation:

Let's first evaluate 3 * 4.

3 * 4 = 3 × 4 - 2 × 3 - 2 × 4 = 12 - 6 - 8 = -2

Therefore, the expression becomes 2 * (-2).

2 * (-2) = 2 × (-2) - 2 × 2 - 2 × (-2) = -4 - 4 + 4 = -4

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.