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Find the inverse of f(x)=4x+3

User Umer Waqas
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2 Answers

6 votes

Answer:

The correct answer is actually
f^-1(x)=(1)/(4) x-(3)/(4)

Find the inverse of f(x)=4x+3-example-1
User Jespar
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4.2k points
3 votes


f(x) = 4x+3\\\\\text{Write f(x) as y = 4x+3}\\\\\text{Replace x with y,}\\\\x =4y +3\\\\\text{Solve for y:}\\\\ \implies x =4y+3\\\\\implies 4y = x-3 \\\\\implies y =\frac{x-3}4\\\\\implies f^(-1) (x) = \frac{x-3}4\\\\\text{This is the inverse of f(x)}

User Jamesfzhang
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4.0k points