Answer:
Step-by-step explanation:
We have been given the following equations;
f(x)=x^2−3x+2
g(x)=x^3−8
We are required to determine the composite function (f⋅g)(x). This simply means that we shall substitute the function g(x) in place of x in the function f(x);
SA = (l x w x 2) + (l x h x 2) + (w x h x 2)
SA = (6 x 4 x 2) + (6 x 2 x 2) + (4 x 2 x 2)
SA = 48 + 24 + 16
SA = 88
The answer is 88 square units.
Step-by-step explanation:
the derivative of an inverse function is
1/f'(f^-1(x))
f'(x) = -6x²
f^-1(7) is solving the original function equation for x under the knowledge that y = 7
7 = 5 - 2x³
2 = -2x³
-1 = x³
=>
x = -1
f'(-1) = -6×(-1)² = -6×1 = -6
so,
(f^-1)'(7) = -1/6
A product increases its value because of the imposition of tax. For example, a medicine that cost $1 can be bought possibly at $1.4 because of the value added tax. To determine the original bill without tax, the equation is $7.95/1.06. This is equal to $7.5.
Answer:
729
Step-by-step explanation:
1/3^-2×3^-4×(-1)^2
=3^2×3^4/1
=9×81
=729
