Consider the functions f(x) = and g(x) = + 6. what are the ranges of the two functions? f(x): {y| y > } g(x): {y| y > }

The correct question in the attached figure

we have that

f(x) = (4/5)^x
g(x) = (4/5)^x + 6

using a graph tool
see the attached figure

we know that
f(x) has the horizontal asymptote y = 0
g(x) has the horizontal asymptote y = 6

therefore
the range of f(x) is the interval (0,∞)
the range of g(x) is the interval (6,∞)

the answer is
the range of f(x) is the interval (0,∞)
the range of g(x) is the interval (6,∞)

see the attached figure