Step-by-step explanation:
I suppose you mean find the range for the following domain. Because when
g(x) is given the value of X
we are trying to solve the output value which is range.
If you want to solve for the domain, the question should give
g(x) = y
and provide the value of y.
X³+X²-X-2
Substitute
X=(-1)
-1+1-(-1)-2
= -1
g(-1)= -1
Substitute
X=(2)
8+4-2-2
=8
g(2)= 8
Substitute
X=(1)
1+1-1-2
=-1
g(1)= -1
g(2)+g(1)
=8-1
=7
Answer:
Option 2: 
Step-by-step explanation:
Given:
From the triangle shown below;
A triangle QRS with angle QRS = 90°, ∠QSR = 30°.
Side QR = 5, SQ = 10 and RS = 5√3
Now, we know from trigonometric ratio that,

Here, opposite side of angle QSR is QR and Hypotenuse is the side opposite angle QRS which is SQ. Therefore,

Therefore, the value of sine of 30° is one-half. So, second option is correct.
Answer:
Radius of the Earth is 3978.8 Miles
Circumference of the Earth is 25000 Miles
Step-by-step explanation:
The angle of the sun shone at an angle of 7.2° to the zenith
This means that the angle of the sector of the circle is 7.2° (θ)
S = Length of the sector of the circle = 500 miles
r = radius of earth
Converting 7.2° to radians


∴ Radius of the Earth is 3978.8 Miles

∴ Circumference of the Earth is 25000 Miles
Answer:
y = 43x − 25
Step-by-step explanation:
Evaluate the function at x=1:
f(x) = 12x³ + 3x² + x + 2
f(1) = 12 + 3 + 1 + 2
f(1) = 18
Find the slope of the tangent line at x=1:
f'(x) = 36x² + 6x + 1
f'(1) = 36 + 6 + 1
f'(1) = 43
Point-slope form:
y − y₀ = m (x − x₀)
y − 18 = 43 (x − 1)
Convert to slope-intercept form:
y − 18 = 43x − 43
y = 43x − 25
Graph:
desmos.com/calculator/giumpkkphr