Answer: (c)
Step-by-step explanation:
Given
Function [tex]f(x)[/tex] is [tex]3\times 2^x-3[/tex]
Also, [tex]g(x)[/tex] is the transformation of [tex]f(x)[/tex]
From the graph, it is clear that [tex]g(x)[/tex] passes through the point [tex](0,5)[/tex]
Now check the option which satisfies the condition
option (c) seems to obey it
[tex]g(x)=3\cdot 2^x+2\\g(0)=3\cdot 2^0+2\\g(0)=3\cdot 1+2\\g(0)=3+2\\g(0)=5[/tex]
Therefore, option (c) is correct.
