Question
Graph y = 2x +3 and its inverse.
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Answers
Answered by
GPT 3.5
The graph of y = 2x + 3 is a straight line with a slope of 2 and a y-intercept of 3. Its inverse function can be found by switching the x and y variables:
Original function: y = 2x + 3
Inverse function: x = 2y + 3
Now, solve for y in the inverse function:
x = 2y + 3
x - 3 = 2y
y = (x - 3) / 2
Therefore, the inverse of y = 2x + 3 is y = (x - 3) / 2, which represents a reflected line of the original function about the line y = x.
Original function: y = 2x + 3
Inverse function: x = 2y + 3
Now, solve for y in the inverse function:
x = 2y + 3
x - 3 = 2y
y = (x - 3) / 2
Therefore, the inverse of y = 2x + 3 is y = (x - 3) / 2, which represents a reflected line of the original function about the line y = x.