Question

Find the value of g(5) if

A) –10


B) 6


C) 5


D) 20

Answer 1

`\text{Given:}\\\mathrm{g(x) = -2x }\text{\ [If x }\le 3]\\\mathrm{g(x)=5\ [If\ -3 < x < 6]}\\\mathrm{g(x)=4x\ [If\ x\ge6]}`

`\text{According to question, x = 5 (We need to find g(5)).}\\\mathrm{And -3 < 5 < 6}\text{\ i.e. the second case is satisfied.}\\\therefore\ \text{g(x) = 5}`

Answer 2

Answer: C) 5

Step-by-step explanation

g(5) means we have x = 5 as the input.

x = 5 fits with the interval
`-3 < \text{x} < 6` which corresponds to the 2nd piece. The output for this second piece is 5 no matter what the input is (hence the lack of variable x here).

This means g(5) = 5. In other words, g(x) = 5 when x = 5.