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
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