Answer:
(f ∘ f)(–1) = –1
Step-by-step explanation:
To solve a composite function, rewrite using brackets and solve from inside to outside.
(f ∘ f)(x) is the same as: f[f(x)]
Given that x = –1 in (f ∘ f)(–1), we are solving for:
f[f(–1)] = ?
Solve for f(–1) inside the square brackets first.
f(x) = x³
f(–1) = (–1)³ Simplify.
f(–1) = –1 Solved the inside.
Substitute f(–1) = –1 into the square brackets.
f[f(–1)] = f[–1]
Now, we can solve the outside.
Solve with the equation of the function, x³.
f[–1] = x³
f[–1] = [–1]³ Substitute x = –1.
f[–1] = (–1)³ Simplify.
f[–1] = –1 Final answer
Answer:
Hope this helps..
Step-by-step explanation:
So when you need to divide one complex number by another, you multiply the numerator and denominator of the problem by the conjugate of the denominator. This step creates a real number in the denominator of the answer, which allows you to write the answer in the standard form of a complex number.
Step-by-step explanation:
The law of cosine states that:
, where C is the side opposite of angle theta, and A and B are the adjacent sides of the angle.
In this case, A is equal to 21, and B is equal to 30 (or it could also be the other way around). That means that:
(to nearest 6 digits)
Answer:
The required equation is
4p = 2.24
And p = 0.56 [ where p is in $]
Step-by-step explanation:
Given that Selena buys 4 peaches that weight 1 pound in all.
Peaches are on sale for $2.24 per pound.
Since the total weight of peaches is 1 pound.
So the price of 4 peaches is $2.24.
Let p be the price of 1 peaches.
Then the price of 4 peaches is $(4×p)
= $4p
According to the problem,
4p = 2.24
⇒p=0.56 [ where p is in $]
The required equation is
4p = 2.24
And p = 0.56 [ where p is in $]
That's a 3x3 linear system. Let's do Gaussian elimination
4 3 1 -10 A
1 -3 2 -8 B
11 -2 3 -38 C
0 15 -7 22 D=A-4B
0 31 -19 50 E=C-11B
0 1 -7/15 22/15 F=D/15
1 0 3/5 -18/5 G=B+3F
0 0 -68/15 68/15 H=E-31F -19-31(-7/15), 50-31(22/15)
0 0 1 -1 I=-15/68 H
1 0 0 -3 J=G - 3/5 I
0 1 0 1 K=F+ 7/15 I
We read off from the last three lines the
Answer: x=-3, y=1, z=-1
