Question

What is f(0)5x – 1, if x < -2f(x) =(x + 3. if x 2 - 2f(0)

Answer 1

`f(x)\mleft\{\begin{aligned}5x-1,x<-2 \\ x+3,x\ge-2\end{aligned}\mright.`

This is a step function, which means that for all the values of x less than -2, the function is equal to f(x)=5x-1

And for all values of x equal or greater than -2, the function is f(x)=x+3

f(0) means that you have to calculate f(x) for x=0, zero is greater than -2 so to solve this exercise you have to use the second expression and replace the value of x with zero

`\begin{gathered} f(x)=x+3 \\ f(0)=0+3 \\ f(0)=3 \end{gathered}`