nathanthomas0524
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The functions f(x) and g(x) are shown on the graph.
f(x) = log(x)
g(x)
6
Using fix), what is the equation that represents gix)?
A) g(x) = log5(x) - 3

B) g(x) = log5(x) + 3

C) g(x) = log5(x-3)

D) g(x) = log5(x+3)

Respuesta :

Using translation concepts, the equation of g(x) is:

D) [tex]\log_5{x + 3}[/tex]

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

Researching this problem on the internet, g(x) is a shift left of 3 units of [tex]f(x) = \log_5{x}[/tex], hence:

[tex]g(x) = f(x + 3) = \log_5{x + 3}[/tex], which means that option D is correct.

More can be learned about translation concepts at https://brainly.com/question/28098112

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