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Find the inverse of f(x) = -4+7/2x

Find the inverse of f(x) = -4+7/2x-example-1
User Qzio
by
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1 Answer

11 votes
11 votes

Answer:

2/7x + 8/7

Explanation:

f(x) = -4 + 7/2x

y = -4+7/2x

Exchange x and y

x = -4 +7/2y

Solve for y

Add 4 to each side

x+4 = -4+4 +7/2y

x+4 = 7/2y

Multiply each side by 2/7

2/7(x+4) = 2/7 * 7/2y

2/7(x+4) = y

2/7x + 8/7

User ChrisRob
by
2.6k points