The expression can be solved by expanding the bracket and multiplying out the terms


Therefore, the expression can be simplified as;

Alternatively, using the theorem of difference of two squares, which is

Hence,

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 
Read more about exponential functions at:
brainly.com/question/11487261
Answer:
, 
Step-by-step explanation:
One is asked to find the root of the following equation:

Manipulate the equation such that it conforms to the standard form of a quadratic equation. The standard quadratic equation in the general format is as follows:

Change the given equation using inverse operations,


The quadratic formula is a method that can be used to find the roots of a quadratic equation. Graphically speaking, the roots of a quadratic equation are where the graph of the quadratic equation intersects the x-axis. The quadratic formula uses the coefficients of the terms in the quadratic equation to find the values at which the graph of the equation intersects the x-axis. The quadratic formula, in the general format, is as follows:

Please note that the terms used in the general equation of the quadratic formula correspond to the coefficients of the terms in the general format of the quadratic equation. Substitute the coefficients of the terms in the given problem into the quadratic formula,


Simplify,



Rewrite,

, 
Answer: A = -2/5
Step-by-step explanation:
- 6/5 - 2/5 = - 8/5 aka - 1 3/5
-1 3/5 ÷ 4 = - 2/5