Functions and relations. What is the effect on the graph of f(x) = 1/x when it is transformed to g(x)= 1/x - 10
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Given
The function f(x)=1/x is transformed into g(x)=(1/x)-10.
To find: The effect of graph g(x).
Explanation:
It is given that,
The function f(x)=1/x is transformed into g(x)=(1/x)-10.
Since, When the graph is moved down by k units, then replace y with y - k.
Then,
For f(x)=1/x,
[tex]\begin{gathered} g(x)=\frac{1}{x}-10 \\ g(x)=f(x)-10 \end{gathered}[/tex]Hence, the graph f(x) is shifted 10 units down.