algebra example

Question

h(x)={3x+2forx\ge 0}

h(x)={5x-1forx<0}

h(8)=?

Answer 1

h(x) is a piece-wise function. Notice there are two function equations (or two pieces) which depend on certain x-values.

To evaluate h(8), use h(x) = 3x+2, because this piece is defined for x-values that are greater than or equal to 0.

h(8) = 3(8)+2 = 24 + 2 = 26

Answer 2

h(8) = 3(8)+2 = 24+2 = 26,

if h(x)=3x+2 when x>0

just replace x with 8