Answer:
the domain of f(x) is R ⇒ ] -∞ , ∞[
the domain of h(x) is x ≤ -5 ⇒ ] -∞ , -5]
Step-by-step explanation:
h(x) = \sqrt[8]{-2x-10}
-2x - 10 ≥ 0
-2x ≥ 10
x ≤ -5
Answer:
1/5^9
Step-by-step explanation:
You keep the 5 the same
Then you subtract the exponents...
-6 - 3 = -9
Since it’s negative and you can’t have a negative exponent you have to put a 1 as the numerator. So...
1/5^9
Answer:
5 x 3 1/2 x 1 1/2
5 x 7/2 x 3/2 = 26 1/4, in decimal form: 26.25
Multiply across, but first make it all improper fractions.
Answer:
f(x)=(x−3)2−5
Find the properties of the given parabola.
Direction:
Vertex: (3,−5)
Focus: (3,−194)
Axis of Symmetry: x=3
Directrix: y=−214
Select a few x
values, and plug them into the equation to find the corresponding y values. The x
values should be selected around the vertex.
x y
1 -1
2 -4
3 -5
4 -4
5 -1
Graph the parabola using its properties and the selected points.
Direction:
Vertex: (3,−5)
Focus: (3,−194)
Axis of Symmetry: x=3
Directrix: y=−214
x y
1 -1
2 -4
3 -5
4 -4
5 -1