Question

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)

Answer 1

According to the definition for composite function,

`g\circ f(x)=g\lbrack f(x)\rbrack`

Substitute the values,

`\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}`

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