Pergunta

For the real-valued functions g(x)=(x-4)/(x-5) and h(x)=4x+1 . find the composition gcirc h and specify its domain using interval notation. (gcirc h)(x)=square Domain of gcdot h:square
Solução

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PriscilaElite · Tutor por 8 anos
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To find the composition
Given:
Substituting
The domain of
In interval notation, the domain of
, we need to substitute
into
.
Given:
Substituting
into
:
The domain of
is the set of all real numbers except for the values that make the denominator zero. In this case, the denominator is
, which is zero when
. Therefore, the domain of
is all real numbers except
.
In interval notation, the domain of
is
.
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