which represents the inverse of the function f(x) = 4x?\n○ h(x) = x + 4\n○ h(x) = x − 4\n○ h(x) =…
which represents the inverse of the function f(x) = 4x?\n○ h(x) = x + 4\n○ h(x) = x − 4\n○ h(x) = \\frac{3}{4}x\n○ h(x) = \\frac{1}{4}x
Answer
Explanation:
Step1: Recall inverse function steps
To find the inverse of a function ( f(x) ), we first replace ( f(x) ) with ( y ), so ( y = 4x ). Then we swap ( x ) and ( y ), getting ( x = 4y ).
Step2: Solve for ( y )
To solve ( x = 4y ) for ( y ), we divide both sides by 4: ( y=\frac{1}{4}x ). So the inverse function ( h(x)=\frac{1}{4}x ).
Answer:
( h(x)=\frac{1}{4}x ) (the fourth option)