Find and simplify in expression for the idicated composite functions. State the domain using interval notation. f(x)=3x-1 g(x)=1/(x+3) Find (g@f)(x)

rocedwrp 2021-02-25 Answered
Find and simplify in expression for the idicated composite functions. State the domain using interval notation.
f(x)=3x1
g(x)=1x+3
Find (gf)(x)
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insonsipthinye
Answered 2021-02-26 Author has 83 answers
Obtain the composite function, gf(x)
gf(X)=g(f(x))
=1(f(x))+3
=1(3x1)+3
=13x+2,x23
Here, the simplified expression for the composite function is
gf(x)=13x+2,x23
The composite function defined for all values of x except at x=23 that is defined all values on the left and right of x=23 but not at x=23, thus the domain in the interval notation becomes (,23)(23,)
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