3x² - 4 → A
(f + g)(x) = f(x) + g(x) = 2x² + 3 + x² - 7 = 3x² - 4
<h3>
Answer:</h3>
a) TI = 7√3 in
b) IR = 7 in
<h3>
Explanation:</h3>
<u>Using cosine rule</u>:
<u>Using sine rule</u>:
Answer:
where does 6 fit into the equation?
Step-by-step explanation:
Answer:
y = (x-0)^2 + (-5) ⇒ y = x^2 - 5
Step-by-step explanation:
The general vertex form of the parabola y = a(x - h)² + k
Where (h,k) is the coordinates of the vertex.
As shown at the graph the vertex of the parabola is the point (0, -5)
So,
y = a(x-0) + (-5)
y = ax^2 - 5
To find substitute with another point from the graph like (1,-4)
So, at x = 1 ⇒ y = -4
-4 = a * 1^2 - 5
a = -4 + 5 = 1
<u>So, the equation of the given parabola is ⇒ y = x^2 - 5</u>
The inverse of the function are respectively; f⁻¹(3) = 2 and f⁻¹(8) = 8.5
<h3>How to find the inverse of a Function?</h3>
The formula to find the equation of this function using two coordinates is;
(y - y1)/(x - x1) = (y2 - y1)/(x2 - x1)
Using the first 2 coordinates, we have;
(y - 1)/(x + 1) = (3 - 1)/(2 + 1)
(y - 1)/(x + 1) = 2/3
3y - 3 = 2x + 2
3y = 2x + 5
y = ¹/₃(2x + 5)
Thus, the inverse is;
f⁻¹(x) = (3x - 5)/2
Thus;
f⁻¹(3) = (3*3 - 5)/2
f⁻¹(3) = 2
Similarly;
f⁻¹(x) = (3x - 5)/2
Thus;
f⁻¹(8) = (3*8 - 5)/2
f⁻¹(8) = 8.5
Read more about Inverse of a Function at; brainly.com/question/11735394
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