The cable company increase the cost of the basic cable package by 15%. Write the function of g(x),which gives the new cost per month, as a transformation

if the cost is x and it is increased by .15x

g(x) = x + .15x or g(x) = 1.15x

To write the function g(x) that gives the new cost per month, as a transformation, we can use the equation:

g(x) = x + 0.15x

Where:
- x represents the original cost of the basic cable package per month,
- 0.15 represents the 15% increase.

By adding 0.15x to the original cost, we account for the 15% increase. The result, g(x), will give the new cost per month.

To write the function g(x) that gives the new cost per month after a 15% increase, we can use the formula for calculating percentage increase.

The formula for calculating percentage increase is:

New Value = Original Value + (Percentage Increase * Original Value)

In this case, the original value is the cost of the basic cable package and the percentage increase is 15%. So, the function g(x) can be written as:

g(x) = x + (0.15 * x)

Simplifying the equation, we have:

g(x) = x + 0.15x

Combining like terms, we get:

g(x) = 1.15x

Therefore, the function g(x) which gives the new cost per month after a 15% increase can be expressed as g(x) = 1.15x.