Answer:
Attached: The red graph is a graph of g(x) = -2x + 2
The blue grap is the graph of g'(x) = -x/2 + 1
Step-by-step explanation:
To find the inverse of g(x) = -2x + 2
First replace g(x) with y;
y = -2x + 2
Then take y to the right and x to the left;
x = -2y + 2
Solving for y gives;
2y = -x + 2
y = -x/2 + 1
Replacing y now with g'(x) gives;
g'(x) = -x/2 + 1
The graphs of g(x) = -2x + 2 and its inverse are attached.
- f-¹(x) = 69/5y
- f-¹(x) = 13 + 4y/(y + 10)
<h3>How to determine the inverse </h3>
The steps involved in determining the inverse of a function are;
- Replace f(x) with y in the equation describing the function
- Interchange x and y
- Solve for y
- Replace y by f-1(x)
If f(x) = 4/5x + 13
y = 4/5y + 13
y = 4 + 65 /5y
f^-1 = 4 + 65 /5y
f^-1(x)= 69/5y
If f(x)= 3/x+10 + 4
y = 3/y + 10 + 4
y = 3 + 4y + 10/(y + 10)
y = 13 + 4y/(y + 10)
f^-1(x) = 13 + 4y/(y + 10)
Thus, the inverse of the functions is 69/5y and 13 + 4y/(y + 10)
Learn more about functions here:
brainly.com/question/6561461
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Step-by-step explanation:
the answer is in the image
Answer:
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Step-by-step explanation:
See the image for Calculation
