What is the inverse of the function f(x) = one-quarterx – 12?
2 answers:
Hey there! :)
Answer:
y = 4x + 48
Step-by-step explanation:
Original equation:
y = 1/4x -12
Switch 'x' and 'y' to solve for the inverse:
x = 1/4y - 12
Add 12 to both sides:
x + 12 = 1/4y - 12 + 12
x + 12 = 1/4y
Multiply both sides by 4:
4(x+12) = y
4x + 48 = y
The inverse is y = 4x + 48
Answer:
4x + 48
Step-by-step explanation:
f(x) = 1/4x - 12
y = 1/4x - 12
Add 12 to both sides.
y + 12 = 1/4x
Multiply both sides by 4.
4y + 48 = x
Switch variables.
4x + 48 = y
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