Range of f(x)=x²-x/x²+2x

Asked by mayank1442003 | 29th Sep, 2019, 11:04: PM

Expert Answer:

f left parenthesis x right parenthesis equals fraction numerator x squared minus x over denominator x squared plus 2 x end fraction equals fraction numerator x minus 1 over denominator x plus 2 end fraction
L e t space y equals fraction numerator x minus 1 over denominator x plus 2 end fraction
rightwards double arrow x y plus 2 y equals x minus 1
rightwards double arrow x left parenthesis y minus 1 right parenthesis equals negative 1 minus 2 y
rightwards double arrow x equals fraction numerator 1 plus 2 y over denominator 1 minus y end fraction
S o comma space y space c a n apostrophe t space b e space 1
T h e r e f o r e comma space y not equal to 1
H e n c e comma space f left parenthesis x right parenthesis element of R minus left curly bracket 1 right curly bracket

Answered by Renu Varma | 4th Oct, 2019, 10:26: AM