Answered

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I need help to do these composition of functions. I have a photo if needed.g(a)=a-1f(a)=3a-1Find (g×f)(1)

Sagot :

According to the definition for composite function,

[tex]g\circ f(x)=g\lbrack f(x)\rbrack[/tex]

Substitute the values,

[tex]\begin{gathered} g\circ f(1)=g\lbrack f(1)\rbrack \\ g\circ f(1)=g\lbrack3(1)-1\rbrack \\ g\circ f(1)=g\lbrack2\rbrack \\ g\circ f(1)=(2)-1 \\ g\circ f(1)=1 \end{gathered}[/tex]

Thus, the value of the given composite function is 1.

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