Question

I need to calculate for *g(-1*)- the option are; is greater, equal or less than h(-1) and then for *g(1)*- the option are; is greater, equal or less than h(-1)

Answer 1

1. Answer:

From the graph, we can see that when
`x=-1`, then
`g(-1)=-3`. On the other hand, we need to calculate
`h(-1)`, that is, the output of
`h` at
`x=-1`, so
`h(-1)=-3(-1)+8=11`. Well, we have two values:

`g(-1)=-3 \\ \\ h(-1)=11`

For
`g(-1)` the options are:

a) is greater than
`h(-1)`

b) is equal than
`h(-1)`

c) is less than
`h(-1)`

Since:

`-3<11`

The correct option is:

c) is less than
`h(-1)`

2. Answer:

From the graph, we can see that when
`x=1`, then
`g(1)=5`. From the previous exercise, we know
`h(-1)`. So we have:

`g(1)=5 \\ \\ h(-1)=11`

For
`g(1)` the options are:

a) is greater than
`h(-1)`

b) is equal than
`h(-1)`

c) is less than
`h(-1)`

Since:

`5<11`

The correct option is:

c) is less than
`h(-1)`