## Related questions with answers

Question

Describe how the graphs of f(x) and g(x) are related. $f(x)=\frac{1}{x}$ and $g(x)=\frac{3}{x}$

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 3We can see that $f(x)=\frac{1}{x}$ is the $\textbf{parent function}$ of $g(x)=\frac{3}{x}$.

Since $3\cdot f(x)=g(x)$, $g(x)$ has a $\textbf{slope}$ $3$ times as steep compared to $f(x)$.

The function in red is $f(x)$, and the one in blue is $g(x)$ - used $\textit{graphing utility}$ $\textbf{Desmos}$.

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