Question

(1 + 7)2 – 2 for £<-4-1 +3for -41Find f(-4)

Answer 1

Given the following functions and their restrictions

`f(x)=\begin{cases}(x-7)^2-2,\mleft\lbrace x<-4\mright\rbrace \\ -x+3,\mleft\lbrace-4\leq x\leq1\mright\rbrace \\ x+1,\mleft\lbrace x>1\mright\rbrace\end{cases}`

Check for the function that satisfies f( -4 )

`\text{the function that satifies it is}\Rightarrow f(x)=-x+3`

Thus,

`f(-4)=-(-4)+3=4+3=7`

Hence, the value of f ( - 4 )= 7.