What is the input value for which the statement f(x) = g(x) is true ?

The input value for which f(x) = g(x) is true is 1.5.

Step-by-step explanation:

In the given graph,

Line f(x) and g(x) intersect at (1.5, 1),

Or in the other words,

Both f(x) and g(x) give the output 1 for the input value of x = 1.5,

That is, f(1.5) = g(1.5)

Hence, the input value for which f(x) = g(x) is true is 1.5.

Third option is correct.

shift 4 units up, and 1 unit left.

it will translate f(x) = 3^x to g(x) = 3^(x+1) + 4