Function transformation involves changing the form of a function
The function g(x) is 
The function is given as:

g(x) is an exponential function that passes through points (-2,2) and (-1,4).
An exponential function is represented as:

At point (-2,2), we have:

At point (-1,4), we have:

Divide both equations

Simplify

Apply law of indices


Rewrite as:

Substitute 2 for b in 

This gives

Multiply both sides by 4

Substitute 8 for (a) and 2 for (b) in 

Express as a function

Hence, the function g(x) is 
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brainly.com/question/11487261
Answer:
What
Step-by-step explanation:
ellaborate, if its just the numbers then no.
Answer:x=-15
Step-by-step explanation: Solve for x by simplifying both sides of the equation, then isolating the variable.
(I am very sorry that i couldnt explain more but im too tired to explain it in excruciating detail.)
Answer: the expression for the width is x + 4
Step-by-step explanation:
The area of the rectangle is expressed as
Area = x² + 13x + 36 square meters.
The length is expressed as
L = x + 9 meters
To determine the expression for the width of the rectangle, we would factorize the expression for the area. Hence
x² + 13x + 36 = 0
We would find two numbers such that their sum or difference is 13x and their product is 36x². The two numbers are 9x and 4x. Therefore,
x² + 9x + 4x + 36 = 0
x(x + 9) + 4(x + 9) = 0
(x + 4)(x + 9)
Therefore, the expression that represents the width of the rectangle is x + 4