Step-by-step explanation:
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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:
1st one, x=-1
2nd on, y=2
Step-by-step explanation:
Step 1: move all terms to one side
7 + 2x^2 - 10x = 0
Step 2: Use the quadratic formula
X = 10 + 2(square root of 11). 10-2 _/—-11
————————————. ——————
4. , 4
Step 3: Simplify solutions
X= 5 + (square root of 11) 5 - (square root 11)
——————————- , ————————
2. 2
5x + 2y =9
X + y= -3
5x+2y=9
2x+2y=-6
__________
3x =15
X =5
5+y=-3
Y=-8
Answer is : (5,-8)