The inverse function of g(x) will be g⁻¹(x) = (4x + 3) / 2. Then the value of the inverse function, at x = -3, will be 4.5.
<h3>What is inverse of a function?</h3>
Let the function will be
f: X → Y
Then the inverse function will be
f⁻¹: Y → X
The function is given below.
g(x) = (2x – 3) / 4
Then the inverse function of g(x) will be
g⁻¹(x) = (4x + 3) / 2
Then the value of the inverse function, at x = -3, will be
g⁻¹(-3) = [4(-3) + 3] / 2
g⁻¹(-3) = -4.5
Learn more about inverse function here:
brainly.com/question/19425567
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Answer:
The average rate of change of the function
over the interval
is -1
Step-by-step explanation:
We are given the function
over the interval 
We need to find average rate of change.
The formula used to find average rate of change is : 
We have b=-1 and a=-11
Finding g(b) = g(-1)

Finding g(a) = g(-11)

Finding average rate of change

So, the average rate of change of the function
over the interval
is -1
<h3>
Answer: (3, -1)</h3>
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Explanation:
The midpoint formula is 
This basically says to add the corresponding coordinates and divide by 2.
The given points (2,5) and (4,-7) have x coordinates of 2 and 4. They add to 2+4 = 6, and then that result cuts in half to 6/2 = 3. The x coordinate of the midpoint is 3.
The y coordinate of the midpoint is y = -1 since adding the y coordinates of the given points leads to 5+(-7) = -2 which cuts in half to -1.
So overall the midpoint is located at (3, -1)