Answer with Step-by-step explanation:
As we can clearly see the graph of g(x) passes through (4,10) i.e.
g(4)=10
[tex]g(4)=10^{4-3}[/tex]
g(4)=10
[tex]g(4)=10^{4+3}[/tex]
[tex]g(4)=10^7[/tex]
[tex]g(4)=10^4-3[/tex]
[tex]g(4)=10^4-3[/tex]
[tex]g(4)=10^4+3[/tex]
[tex]g(4)=10^4+3[/tex]
Hence, g(4)=10 is satisfied only in the case [tex]g(x)=10^{x-3}[/tex]
Hence, Correct option is:
[tex]g(x)=10^{x-3}[/tex]
