Question

For the piecewise function, find the values g(-1), g(2), and g(5). g(x)= x+4, for x≤2 9-x, for x>2​

Answer 1

g(-1) = 3, g(2) = 6, g(5) = 4

Explanation:

Please refer to attached photo. (Apologies for the terrible handwriting.)

From here we can see,

g(x) = x + 4 applies for values x less than or equal to 2.

g(x) = 9 - x applies for values x more than 2 (which does not include 2.)

g(-1):

Since -1 < 2,

g(-1) = -1 + 4 = 3

g(2) = 2 + 4 = 6

g(5):

Since 5 > 2,

g(5) = 9 - 5 = 4