Select the correct answer.
Consider the function fx) = 10' and the function g(x), which is shown below. How will the graph of g(x) differ from the graph of
g(t) = f(x – 6) = 10(– 6)
Answer choice options are above.

Select the correct answer Consider the function fx 10 and the function gx which is shown below How will the graph of gx differ from the graph of gt fx 6 10 6 An class=

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Answer:

B The graph of g(x) is the graph of f(x) shifted to the right 6 unit

Relation between the graph of g(x) and f(x) is option (B) The graph of g(x) is the graph of f(x) shifted to right 6 units

What is a Function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given,

[tex]f(x) =10^{x}[/tex]

[tex]g(x)=f(x-6)=10^{(x-6)}[/tex]

f(x)  shift right 6 units to get f(x-6)

Given that

g(x) = f(x-6)

Therefore graph of g(x) is the graph of f(x) shifted to the right 6 units

Hence, Relation between the graph of g(x) and f(x) is option (B) The graph of g(x) is the graph of f(x) shifted to right 6 units

Learn more about Function here

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