A composite function can be written as w(u(x)), where u and w are basic functions. Is h(x) = (x2 + 3x + 2)5 a composite function? If so, what are the "inner" and "outer" functions?
Choose 1
A
h is composite. The "inner" function is x2 + 3x + 2 and the "outer" function is x5.
h is composite. The "inner" function is 25 and the "outer" function is x2 + 3x + 2.
C
h is not a composite function.

A

Step-by-step explanation:

Yes , h(x) is a composite function

A composite function involves putting one function into another

In this case;

x^5 will be the outside function while what we have in the bracket is the inner function

1.3 million hoops i believe

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.