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