What is the inverse of the function f(x)= 1/4x-12
2 answers:
Answer:
The inverse is 4x+48
Step-by-step explanation:
y = 1/4x - 12
Exchange x and y
Solve for y
x = 1/4y -12
Add 12 to each side
x+12 = 1/4 y -12+12
x+12 = 1/4y
Multiply each side by 4
4(x+12) = 4*1/4y
4x+48 = y
The inverse is 4x+48
Answer:
4x + 48
Step-by-step explanation:
f(x) = 1/4x-12
y = 1/4x - 12
Switch variables.
x = 1/4y - 12
Solve for y.
x = 1/4y - 12
Add 12 on both sides.
x + 12 = 1/4y - 12 + 12
x + 12 = 1/4y
Multiply both sides by 4/1.
4/1(x + 12) = 1/4y × 4/1
4x + 48 = y
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