The graph of g(x) is a transformation of the graph of f(x)=3x .

Step-by-step explanation:

The parent graph is  f(x) = 3^x

When we compare the parent graph f(x) = 3^x with given graph

We can see that the given graph is shifted 2 units to the right and 1 unit down

When we shift 2 units to the right then we put x-2 in the exponent

Then when we  shift 1 unit down, put -1 at the end

So function g(x) becomes

LEt check with given point (2,0)  and (3,2)

(2,0)

True

(3,2)

True

problem:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

f(5/2) = 10/3

i hope this !

5x+10 is the correct one

hope this