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Answer:
<h2>(g ∘ h)(x) = x² - 6x + 9</h2>
Step-by-step explanation:
g(x) = x²
h(x) = x - 3
To find (g ∘ h)(x) substitute h(x) into g(x) that's for every x in g(x) replace it with h(x)
That's
(g ∘ h)(x) = ( x - 3)²
= x² - 3x - 3x + 9
We have the final answer as
<h3>(g ∘ h)(x) = x² - 6x + 9</h3>
Hope this helps you
The statements about the function that are true are
- The vertex of the function is at (–3,–16).
- The graph is increasing on the interval x > –3.
- The graph is positive only on the intervals where x < –7 and where x > 1.
<h3>How to interpret the graph?</h3>
The equation of the graph is given as
f(x) = (x - 1)(x + 7)
The graph of the function is added as an attachment
On the graph, we have
Vertex = (-3, -16)
This is so because the graph has a minimum point of (-3, -16)
Also, the graph crosses the x-axis at x = 1 and x = -7
This means that the graph is positive at x >1 and x >-7
Because the vertex is a minimum, the graph is increasing at the left of its symmetry i.e. x > -3
Read more about quadratic functions at
brainly.com/question/14933288
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