If x ∈ R, then the expression 9x−3x+1 assumes

Since the function f(x)=9x−3x+1 is continuous for all xand every continuous function attains every value between its maximum and minimum values. Therefore, f(x) takes every value between its minimum and maximum values. We havef(x)=9x−3x+1=3x−122+34>34 for all xThus, f(x) assumes all real values greater than 3 / 4.