SOLUTION: Show all work: f(x)=8x-32 and g(x)=1/8x+32 Is f(x) the inverse of g(x) I missed this week in class and have no clue what this means or how to solve.

Algebra ->  Algebra  -> Inverses -> SOLUTION: Show all work: f(x)=8x-32 and g(x)=1/8x+32 Is f(x) the inverse of g(x) I missed this week in class and have no clue what this means or how to solve.      Log On

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 Algebra: Inverse operations for addition and multiplication, reciprocals Solvers Lessons Answers archive Quiz In Depth

 Question 286349: Show all work: f(x)=8x-32 and g(x)=1/8x+32 Is f(x) the inverse of g(x) I missed this week in class and have no clue what this means or how to solve.Answer by texttutoring(324)   (Show Source): You can put this solution on YOUR website!To find the inverse of the function g(x), we will first rewrite it so that g(x)=y: g(x)=(1/8)x+32 An inverse function is simply one where the x and y values have been swapped. That means anywhere where there is an x, make it y, and anywhere you see a y, make it an x. Step 1: swap the y and x values. Now rearrange the equation so that y is isolated. x-32=(1/8)y Multiply both sides by 8: 8x-256=y The inverse of g(x) is y=8x-256 f(x)=8x-32, so no, the inverse of g(x) is NOT equal to f(x)