Let the function f be defined by the equation y = f(x),
where x and
f(x)
are real numbers. Find the domain of the function. (Enter your answer using interval notation.)
f(x) = x3 − 5x + 3

Domain:  

Step-by-step explanation:

The domain of a function is all values of x such that f(x) exists.

In our case we have the following function:

We know that x and f(x) are real numbers, therefore the domain will be the interval , or in other words, the domain is all real numbers.

I hope it helps you!

3

step-by-step explanation:

divide 13.5 by 9 to get the scale factor. it equals 1.5

2 * 1.5 = 3

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.