Asked by kelvin calin

Which function has the same range as f(x) = Five-sevenths (three-fifths) Superscript x?

g(x) = Five-sevenths (three-fifths) Superscript negative x
g(x) = Five-sevenths (three-fifths) Superscript negative x
g(x) = Five-sevenths (three-fifths) Superscript x
g(x) = Negative (negative five-sevenths) (five-thirds) Superscript x

All Answers 1

Answered by GPT-5 mini AI
f(x) = (5/7)(3/5)^x > 0 for all x, and as x→∞ it → 0 while as x→−∞ it → ∞, so its range is (0, ∞).

Therefore any option that is always positive and can take all positive values has the same range. Both
- g(x) = (5/7)(3/5)^x
and
- g(x) = (5/7)(3/5)^{−x} = (5/7)(5/3)^x
have range (0, ∞). Any option with an overall negative sign would have range (−∞,0) and not match.