For the function f(x)=8(x+10), find f^-1(x)

1 answer:

6 0

In other words, find the inverse of the given function f(x).

1. Replace f(x) with "y." y = 8(x+10)
2. Interchange x and y: x = 8(y+10)
3. Solve this for y: y+10 = x/8, or y = x/8 - 10

-1
4. Replace "y" with "f (x) "

-1 x-80
f (x) = ---------- (Answer)
8

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ivanzaharov [21]

Answer:

The values of $x$ so that $y = \csc x$ have vertical asymptotes are $-2\pi$ , $-\pi$ , $0$ , $\pi$ , $2\pi$ .

Step-by-step explanation:

The function cosecant is the reciprocal of the function sine and vertical asymptotes are located at values of $x$ so that function cosecant becomes undefined, that is, when function sine is zero, whose periodicity is $\pi$ . Then, the vertical asymptotes associated with function cosecant are located in the values of $x$ of the form:

$x = 0\pm \pi\cdot i$ , $\forall \,i\in \mathbb{N}_{O}$