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

SzigetiWG4

SzigetiWG4

Answered question

2022-11-26

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

Answer & Explanation

bocescGXN

bocescGXN

Beginner2022-11-27Added 8 answers

Since 7 x is well defined for all x R ​​​​​, therefore the domain of f ( x ) = ( 7 ) x is the whole real numbers set R and also the domain of g ( x ) = 7 x is whole real numbers set R . Hence, Domain  ( f ) = Domain  ( g ) = R . Also from the graph of the function x 7 x is clear that it assumes every non negative real number exactly once.
Therefore, Range  ( f ) = { 7 x | x R } R 0 set of all non positive real numbers. Range  ( g ) = { 7 x | x R } R 0 set of all non negative real numbers.
Thus f(x) and g(x) have same domain but different ranges.

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