<span>Find the inverse of the given function.
f(x) = -1/2√x + 3, x ≥ -3
I will have to assume that you meant f(x) = -(1/2)sqrt(x) + 3. If you actually meant f(x) = -(1/2)sqrt(x+3), then obviously the correct result would be different.
1. Replace "f(x)" by "y:" y </span>= -(1/2)sqrt(x) + 3
2. Interchange x and y: x = -(1/2)sqrt(y) + 3
3. Solve for y: x-3=-(1/2)sqrt(y), so that 2(3-x)= sqrt(y) and y=+sqrt(2[3-x])
4. Replace "y" with
-1
f (x) = sqrt(2[3-x])
Here, there are restrictions on x, since the domain of the sqrt function does not include - numbers. The domain here is (-infinity,3]
Answer:
14 feet and 6 feet
Step-by-step explanation:
ithink its help
Answer:
C). Nonrigid transformation.
F). Stretch
Step-by-step explanation:
Transformation in mathematics is defined as the alteration or variation in the shape of an object without altering the lengths by using a flip, turn, slide, or resizing.
The transformation 'Hexagon ABCDEF → hexagon A'B'C'D'E'F'' would best be described as the 'non-rigid' and 'stretch' transformation. Non-rigid because it alters the shape or size of the figure both vertically as well as horizontally. It would be considered a stretch transformation as it is resized by a pull from both the vertical and horizontal angles. Thus, <u>options C and F</u> are the correct answers.
Answer:
14cm²
Step-by-step explanation:
Area of a triangle (A) is 1/2bh where;
b is the base of the triangle
h is the height of the triangle
Given the base = 7cm and height = 4cm,
Substituting the given values into the formula of area of a triangle we have;
A = 1/2×7×4
A = 14cm²
Therefore the area of the triangle is 14cm²
