F(x) = (two-fifths) Superscript x g(x) = (two-fifths) Superscript x – 3 Which statement about f(x) and its translation, g(x), is true? The range of g(x) is , {y | y > 0} and the range of f(x) is {y | y > –3}. The range of g(x) is , {y | y > 3} and the range of f(x) is {y | y > 0}. The asymptote of g(x) is the asymptote of f(x) shifted three units down. The asymptote of g(x) is the asymptote of f(x) shifted three units up.

C

Step-by-step explanation:

The asymptote of g(x) is the asymptote of f(x) shifted three units down.

step-by-step explanation:

in the absence of parentheses, i will have to make some assumptions:   i interpret your (3x+5/y^6)(4y^3/5)​ to mean:

3x + 5     4y^(3/5)       (3x + 5)(4)

* =

    y^6             1               y^(6-3/5)

if this is not what you expected, repost your question using parentheses to indicate whether you meant

4y^3

    or   4y^(3/5)

    5

the transverse axis of a hyperbola is the line that contains the two vertices and the two focuses.

in this example (hyperbola of equation x^2/2 - y^2/4 = 1), the transverse axis is the  x-axis  . 

step-by-step explanation: