The graph of a function g is a transformation of the graph of
f (x) = 9x + 5, where g(x) is 60% of
f(x). Write a rule for g

Here we have two concepts.

First, when we have that something, let's call it A, is an x% of another thing, let's call it B.

We have that:

A = (x%/100%)*B

In this case g(x) is 60% of f(x), then:

g(x) = (60%/100%)*f(x) = 0.6*f(x)

And this is called a vertical dilation.

When we have a function f(x), a vertical dilation of scale factor A is written as:

g(x) = A*f(x)

So in this case we have A = 0.6

Then we can write this as:

"g(x) is a vertical dilation of scale factor 0.6 of the function f(x)"

And to solve completely, let's write g(x):

g(x) = 0.6*f(x) = 0.6*(9*x + 5) = 5.4*x + 3

g(x) = 5.4*x + 3

step-by-step explanation:

the first 5 right here the next 5 i will upload as separate question