which represents the inverse of the function f(x) = 4x?\no h(x)=x + 4\no h(x)=x - 4\no h(x)=\frac{3}{4}x\no…
which represents the inverse of the function f(x) = 4x?\no h(x)=x + 4\no h(x)=x - 4\no h(x)=\frac{3}{4}x\no h(x)=\frac{1}{4}x
Answer
Explanation:
Step1: Let $y = f(x)$
$y = 4x$
Step2: Solve for $x$ in terms of $y$
$x=\frac{y}{4}$
Step3: Replace $x$ with $h(x)$ and $y$ with $x$
$h(x)=\frac{1}{4}x$
Answer:
$h(x)=\frac{1}{4}x$ (the fourth - option)