I. Multiply the first function by the second one.
f(x)*g(x) = (x^2+3x-4)*(x+4) = x^3 + 3x^2 - 4x + 4x^2 + 12x -16 = x^3 +7x^2 + 8x - 16.
The domain of this new function is the set of all real numbers (R). Other notation: from minus infinity to plus infinity. We came to this conclusion because the new function poses no restrictions; regardless of which x-value you take, you will get the appropriate y-value.
II. f(x)/g(x) = (x^2+3x-4)/(x+4) =
Ask yourself: which two numbers add up to 3 and multiply to -4? It's -1 and 4. Now we can represent f(x) as (x-1)(x+4).
Since we're dividing these 2 brackets by g(x)=x+4, we may now cancel (x+4). All that's left is x-1.
The domain here is the same as in the previous task - it is R.
Check the picture below.
the base of it is one of the triangles, and thus, the sides are just the 3 rectangles.
notice all you have is a 3x5 rectangle, a 5x5 one and a 4x5 rectangle.
get their area, sum them up, and that's the lateral, sides, area of the triangular prism.
(3 · 5) + (5 · 5) + (4 · 5)
Answer:
-xy+5x2(power of x is 2)y
Step-by-step explanation:
-xy+5x2y
From the identity,
sin^2(x)+cos^2(x)=1
then
cos(x)=sqrt(1-sin^2(x))
where sin(x) is given as 0.42.
Note that the above answer applies to 0<x<90 degrees