what is the inverse of the function $f(x) = \\frac{1}{4}x - 12$?\\n\\(\\circ\\) $h(x) = 48x…
what is the inverse of the function $f(x) = \\frac{1}{4}x - 12$?\\n\\(\\circ\\) $h(x) = 48x - 4$\\n\\(\\circ\\) $h(x) = 48x + 4$\\n\\(\\circ\\) $h(x) = 4x - 48$\\n\\(\\circ\\) $h(x) = 4x + 48$
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 )