Questions: The graph of f(x) = 1/x is given below. Write the equation of a function g(x) which would shift the graph of f(x) right 1 unit.

The graph of f(x) = 1/x is given below. Write the equation of a function g(x) which would shift the graph of f(x) right 1 unit.
Transcript text: The graph of $f(x)=\frac{1}{x}$ is given below. Write the equation of a function $g(x)$ which would shift the graph of $f(x)$ right 1 unit.
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Solution

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Solution Steps

Step 1: Identify the given function

The given function is \( f(x) = \frac{1}{x} \).

Step 2: Determine the transformation needed

We need to shift the graph of \( f(x) \) to the right by 1 unit.

Step 3: Apply the horizontal shift

To shift the graph of \( f(x) \) to the right by 1 unit, we replace \( x \) with \( x - 1 \) in the function. Therefore, the new function \( g(x) \) is: \[ g(x) = \frac{1}{x - 1} \]

Final Answer

\[ g(x) = \frac{1}{x - 1} \]

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