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## Homework Statement

Functions g and h are defined as follows:

g : x → 1 + x x ∈

**R**

h : x → x² + 2x x ∈

**R**

Find i.) the ranges of g and h,

ii.) the composite functions h ° g and g ° h, stating their ranges.

Not sure how this is to be done help needed, please.

**2. The attempt at a solution**

i.) range of g => R = {y : y ∈

**R**}

1 + x = 0

x = -1

1 - 2 = -1

-b/2a = -2/2 = -1

range of h => R = {y : y ≥ - 1, y ∈

**R**}