Functions f(x) and g(x) are transformed logarithmic functions
The equation that represents function g(x) is [tex]g(x) = \log(x + 1) + 4[/tex]
How to determine the equation of function g(x)
The equation of function f(x) is given as:
[tex]f(x) = \log(x)[/tex]
From the graph, the function f(x) is translated 1 unit left.
So, we have:
[tex]f'(x) = \log(x + 1)[/tex]
Next, the function is translated 4 units up.
So, we have:
[tex]f'(x) = \log(x + 1) + 4[/tex]
Rewrite as:
[tex]g(x) = \log(x + 1) + 4[/tex]
Hence, the equation that represents function g(x) is [tex]g(x) = \log(x + 1) + 4[/tex]
Read more about function transformation at:
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