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PLEASEEE HELP Me asap its really confusing

PLEASEEE HELP Me asap its really confusing-example-1

2 Answers

5 votes
What they’re looking for is the inverse function. Imagine the f(x) is a y and switch the x and y to get x=4y-12. Try to isolate y again so add 12 to both sides to get x+12=4y. Divide both sides to get 1/4x+3, your final answer
User Xperroni
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6.2k points
1 vote

You can find the inverse of an equation by swapping the x and y, then solving for y.

f(x) = 4x - 12 f(x) is the equivalent of y in this case, so change it to a y

y = 4x - 12 Swap the x and y variables

x = 4y - 12

Solve for y

x = 4y - 12 Add 12 to both sides

x + 12 = 4y Divide both sides by 4


(x)/(4) + 3 = y Switch the sides to make it easier to read

y =
(x)/(4) + 3 Change y back into f(x) to match what you were given

f(x) =
(x)/(4) + 3

User Varedis
by
6.0k points