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05.06 Graphing Logarithmic Functions

0506 Graphing Logarithmic Functions class=

Sagot :

MrRoyal

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:

https://brainly.com/question/1548871

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