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2 votes

f(x) = (21 - 6x)/(5)
find

{f}^( - 1) (x)


User Rynardt
by
6.3k points

1 Answer

4 votes

Answer:

-5/6x + 7/2 = y

Explanation:

f(x) = (21 -6x) /5

y = 1/5 (21 -6x)

To find the inverse exchange x and y

x = 1/5 (21-6y)

Solve for y

Multiply each side by 5

5x = 5* 1/5 (21-6y)

5x = (21-6y)

Subtract 21 from each side

5x -21= (21-21-6y)

5x-21 = -6y

Divide each side by -6

5/-6x-21/-6 = -6/-6y

-5/6x + 7/2 = y

User Greg Lever
by
6.7k points