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…
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)
First, add 12 to both sides: (x + 12=\frac{1}{4}y). Then multiply both sides by 4: (y = 4x+48)
Answer:
D. (h(x)=4x + 48)