Answer:
The inverse of the function h(x) is .
Step-by-step explanation:
The given function is
Replace h(x) by y.
Interchange x and y.
Subtract 4 from both sides to isolate variable y,
Multiply both sides by 2.
Divide both sides by 5.
Replace y by h⁻¹(x).
Therefore the inverse of the function h(x) is .
The point that is not included in the solution set for the inequality in the graph is (-1, 3).
<h3>How to explain the graph?</h3>In the information given, (h, k) is the vertex point. In the graph, the vertex point will be (1, 2). The equation will be:
y = a(x + 1)² + 2
By the point of the graph(0, 3) the value of a will be:
3 = a(0 - 1)² + 2
3 = a + 2
a = 3 - 2
a = 1
The equation this becomes:
y = 1(x - 1)² + 2.
y = x² - 2x + 1 + 2
y = x² - 2x + 3
Therefore, the point that is not included in the solution set for the inequality is (-1, 3).
Learn more about graph on:
#SPJ1
