Question

which graph represents a function f(x)=1\x-1

Answer 1

Answer:

The graph of the given function is shown by option B) and this can be determined by using the substitution method.

Given :

Function -- \rm f(x) = 1/(x-1)f(x)=1/(x−1)

The following steps can be used in order to determine the graph of the given function:

Step 1 - The substitution method can be used in order to determine the graph of the given function.

Step 2 - Substitute the value of (x = 0) in the given function.

\rm f(0) = \dfrac{1}{0-1}f(0)=

0−1

1

f(0) = -1

Step 3 - Substitute the value of (x = 1) in the given function.

\rm f(1) = \dfrac{1}{1-1}=\inftyf(1)=

1−1

1

=∞

Step 4 - Susbtitute the value of (f(x) = 1) in the given function.

1=\dfrac{1}{x-1}1=

x−1

1

x = 2

Step 5 - Substitute the value of (f(x) = -1) in the given function.

-1=\dfrac{1}{x-1}−1=

x−1

1

x = 0