SOLUTION: Given f(x) = 2^x, explain how to find the range of g(x) = 5 (2+6f(23-x)) without graphing. State the range of g(x).

Question 1203503: Given f(x) = 2^x, explain how to find the range of g(x) = 5 (2+6f(23-x)) without graphing.
State the range of g(x).

Answer by ikleyn(52784) (Show Source): You can put this solution on YOUR website!
.


g(x) = 10 + 30*f(23-x).


The range of f(x) is (0,oo), i.e. everything what is greater than 0 (zero).


THEREFORE, the range of g(x) is (10,oo), which is everything greater than 10.   ANSWER

Solved, with complete explanation.

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