Question

6. Write the range of the function f (x) = e^(x-[x]), x ER.​

Answer 1

ANSWER:

f(x) =e^x-e -x=y

e^x-1/ex=y

e^2x-/ex=y

e^2x-1=y•e^x

(e^x) ^2-y•e^x-1=0

y is real value

D>0

(-y) ^2-4(1) (-1) >0

y^2+4>0

y^2>-4

Square of any number is positive greater than or equal to 0