Question

Which statement best describes the domain and range of f(x) = -(7)^x and g(x) = 7^x

Answer 1

Given :  f(x) = -(7)ˣ  & g(x) =  7ˣ

To find : Domain & range

Solution:

f(x) = -(7)ˣ

Domain  x  ∈ R    (-∞ , ∞ )

(7)ˣ  is always + ve

Hence -(7)ˣ will be always -ve

Renge =    (-∞ , 0 )

g(x) =  7ˣ

Domain  x  ∈ R    (-∞ , ∞ )

(7)ˣ  is always + ve

Range =   (0 , ∞ )

Domain of f(x) & g(x) =   x  ∈ R   i.e.   (-∞ , ∞ )

Range of f(x) =    (-∞ , 0 )  & g(x) =   (0 , ∞ )

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