Question

If f (x) = x² and g(x) = 5x – 6, where x ∈ {2, 3, 4}, check the equality of the functions.

Answer 1

f(x) = x², g (x) = 5x – 6, Domain = (2, 3, 4} For fix) =x2, Range Ry= {f(2), f(3), f{4}}

= (4, 9, 16}

For g (x) = 5x – 6,

Range R_f = {g (2), g (3), g (4)}

∴ g(2) = 5 (2) – 6 = 10 – 6 = 4 ,

g (3) = 5(3) – 6 = 15 – 6 = 9

g (4) = 5 (4) – 6 = 20 – 6 = 14

R_f = {4, 9, 14}

Domains of the functions fix) and g (x) are same but their range are not same. Hence, the given functions are unequal functions.