what is the inverse of the function ( f(x)=\frac{1}{4}x - 12 )?\n( h(x)=48x - 4 )\n( h(x)=48x + 4 )\n(…
what is the inverse of the function ( f(x)=\frac{1}{4}x - 12 )?\n( h(x)=48x - 4 )\n( h(x)=48x + 4 )\n( h(x)=4x - 48 )\n( h(x)=4x + 48 )
Answer
Explanation:
Step1: Replace (f(x)) with (y)
(y = \frac{1}{4}x - 12)
Step2: Swap (x) and (y)
(x=\frac{1}{4}y - 12)
Step3: Solve for (y)
Add (12) to both sides: (x + 12=\frac{1}{4}y) Multiply both sides by (4): (y = 4x+48)
Answer:
(h(x)=4x + 48) (the fourth option)