The domain of the function (ƒ .g)(x) is (-∞,∞).
To find domain of the function.
What is function?
A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.
Given that:
It is given that function (ƒ • g)(x)
where ƒ(x) = 2x2 + x, g(x) = 5x – 1.
f(x)= 2x^{2} +x
to equate to zero,
2x^{2} +x=0
2x^{2} =-x
2x=-1
x=-1/2
g(x)=5x-1
to equate to zero,
5x-1=0
5x=1
x=-1/5
(f.g)(x)=f(x)*g(x)
=-1/2*-1/5
=1/10
So, the domain of the function (ƒ • g)(x) is (-∞,∞).
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