College Math CLEP Prep Practice Exam

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What is the inverse of y = 5x - 4?

y = 5x + 4
y = 5x/4
y = 4/5x
y = 4/5x + 4

The correct answer is: y = 4/5x

The inverse of y = 5x - 4 is y = (x + 4)/5. This is because to find the inverse, we need to switch the x and y variables and solve for y. In this case, we can first add 4 to both sides, giving us 5x = y + 4. Then we divide both sides by 5, giving us x = (y + 4)/5. This is the inverse function, where x is now the input and y is the output. Option A, y = 5x + 4, is the original function and not the inverse. Option B, y = 5x/4, is the correct inverse but in a different form since we can also write it as y = (x/4)*(5/1) or y = (5/4)x.