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WILL MARK BRAINLIEST:
The logarithmic functions, f(x) and g(x), are shown on the graph.


Graph depicting two curves, g of x and f of x equals log x. Curve g of x is increasing from the left asymptotic to the line x equals negative 1 and bends to the right and passes through zero comma four. Curve f of x equals log x increasing from the left asymptotic to the y-axis and bends to the right and passes through one comma zero.


What is the equation that represents g(x)? Explain your reasoning.(IT WONT LET ME UPLOAD GRAPH)

Respuesta :

Using translation concepts, it is found that the equation that represents g(x) is given by:

g(x) = log(x + 1) + 4.

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.

In this problem, the function f(x) = log(x) is:

  • Increasing from the left asymptotic to the line x = 0.
  • Passes through point (1,0).

From the descriptions of g(x), it is found that f(x) was shifted right 1 unit and up 4 units, hence the equation of g(x) is given by:

g(x) = log(x + 1) + 4.

More can be learned about translation concepts at https://brainly.com/question/4521517

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Answer:

g(x) = log (x + 1) + 4

Step-by-step explanation:

If you look at the equation, you can follow g(x) on unit to the right, and four units up to 0, 4 where g(x) intersects the y axis.  You can also input this equation into desmos and it will show the exact image of g(x).  Hope this helps!

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