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kotykmax [81]
3 years ago
5

What’s the inverse function for f(x) 6x-5

Mathematics
1 answer:
MAXImum [283]3 years ago
6 0

Answer:

g(x)= (1/6)x+5/6 is the inverse function of f(x)

Step-by-step explanation:

We have y= 6x-5

Then, we take x depending on y like:

6x-5=y

6x-5 +5 = y + 5

6x= y+5

6x/6=y/6 + 5/6

x= y/6+ 5/6

Now, we replace x by the function g(x) and y by the variable x, then we have

g(x)= (1/6)x+5/6 is the inverse function of f(x).

Hope that you understand.

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__

The y-intercept is the constant in the given equation: -7. The slope of 6 tells you the line rises 6 units for 1 unit to the right. So, the point (1, -1) is another point on the graph. The line through those two points, (0, -7) and (1, -1), will intersect the x-axis at x=7/6.

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