Answer to Question #94045 in Algebra for Joshua

Question

8.Division by Zero is...
a.undefined
b.bounded
c.Infinite
d.finite

9.let \\(f(x)= 1/x)\\, then \\(f^{-1}(x))\\ is given as
a.x+1
b.none of the option
c.x
d.1/x

Answer 1

9.let \\(f(x)= 1/x)\\, then \\(f^{-1}(x))\\ is given as

d.1/x

First you have to f (x) = y representing the output.

The function can be written as $y=\frac{1}{x}$

The variable $x$ represents the input.

To find the inverse, the input is exchanged for the output, that is,

$x=\frac{1}{y}$

It is solved for $x$:

$x=f^{(-1)}(y)=\frac{1}{y}\\$

Finally, we replace the variable.

The inverse function is $f^{-1}(X)=\frac{1}{X}$