what is the inverse of the function $f(x)=2x - 10$?\n$h(x)=2x - 5$\n$h(x)=2x + 5$\n$h(x)=\frac{1}{2}x…
what is the inverse of the function $f(x)=2x - 10$?\n$h(x)=2x - 5$\n$h(x)=2x + 5$\n$h(x)=\frac{1}{2}x - 5$\n$h(x)=\frac{1}{2}x + 5$
Answer
Answer:
D. $h(x)=\frac{1}{2}x + 5$
Explanation:
Step1: Set $y = f(x)$
$y=2x - 10$
Step2: Swap $x$ and $y$
$x = 2y-10$
Step3: Solve for $y$
Add 10 to both sides: $x + 10=2y$. Then divide both sides by 2: $y=\frac{1}{2}x + 5$. So the inverse function $h(x)=\frac{1}{2}x + 5$.