Answer:
Explanation:
The function \(g(x) = f(x-6) = 10^{(x-6)}\) is obtained by taking the function \(f(x) = 10^x\) and replacing \(x\) with \((x-6)\). This means that for every point on the graph of \(f(x)\), the corresponding point on the graph of \(g(x)\) will be shifted 6 units to the right.
In other words, the graph of \(g(x)\) will be the same as the graph of \(f(x)\), but it will be horizontally shifted 6 units to the right. The general shape of the graph will remain the same, but all points on the graph will have their x-coordinates increased by 6.
Here's a rough representation of how the graph of \(g(x)\) will differ from the graph of \(f(x)\):
```
f(x) | g(x)
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**********************
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```
The \(x\)-coordinates of all points on the graph of \(g(x)\) will be 6 units greater than the corresponding points on the graph of \(f(x)\).