Do you agree with the contention that the functions f(x) = x + 2 and g(x) = x 2

nitraiddQ

nitraiddQ

Answered question

2021-10-26

Do you agree with the contention that the functions f(x) = x + 2 and g(x) = x 2 − 4 x – 2are the same in every respect. Provide evidence to support your position.

Answer & Explanation

Mitchel Aguirre

Mitchel Aguirre

Skilled2021-10-27Added 94 answers

The functions f(x)=x+2, and g(x)=x24x2 are not same in all respect.
g(x)=x24x2
=x222x2
=(x2)(x+2)x2
=(x+2)
=f(x)
Although the function g(x) simplifies to the function f(x).
But the function g(x) is not defined at x = 2.
Thus, domains for f(x) and g(x) are different although the functions are similar in nature except at x = 2.

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