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
Answer:
D. $h(x)=4x + 48$
Explanation:
Step1: Sustituir $f(x)$ por $y$
$y=\frac{1}{4}x - 12$
Step2: Intercambiar $x$ e $y$
$x=\frac{1}{4}y - 12$
Step3: Resolver para $y$
$x + 12=\frac{1}{4}y$ $y = 4(x + 12)$ $y=4x+48$ Así, la función inversa $h(x)=4x + 48$.