Answer:
f(x) and g(x) are inverses
Step-by-step explanation:
* Lets check the inverse function
- If f(x) = y has a domain = x and a range = y, then f^-1 is the
inverse of f with a domain = y and a range = x
- f(x) = f^-1(x) = x
* Now lets solve the problem
∵ f(x) = 8/x
∵ g(x) = 8/x
∴ fg(x) = f(8/x)
∴ fg(x) = 8/(8/x) = 8 ÷ 8/x ⇒ change division sign to the multiplication
sign and reciprocal the fraction after the division sign
∴ fg(x) = 8 × x/8 = x
* Now lets find gf(x)
∴ gf(x) = g(8/x)
∴ gf(x) = 8/(8/x) = 8 ÷ 8/x
∴ gf(x) = 8 × x/8 = x
∵ f(x) = f^-1(x) = x
* fg(x) = gf(x) = x
∴ f(x) and g(x) are inverses
The eigenvectors are (1 + i)/4 and (1-i)/4.
- A matrix is an organized, rectangular grouping of real or complex integers or functions.
- The unique collection of scalars known as eigenvalues is connected to the system of linear equations. The majority of matrix equations employ it. The German term "Eigen" signifies "appropriate" or "characteristic." Therefore, the word "eigenvalue" can also be used to refer to a suitable value, a latent root, a characteristic value, or a characteristic root. The eigenvalue is a scalar that is used to alter the eigenvector, to put it simply.
- The non-zero vectors that do not change direction when a linear transformation is performed are called eigenvectors. It is only modified by a single scalar component.
To learn more about matrix, visit :
brainly.com/question/28180105
#SPJ4
It’s the first one otherwise known as a
There are infinitely many solutions of the system of equations, x + y = 1
and 2x + 2y = 2
Step-by-step explanation:
We need to find how many solutions are there to the system of equations.

Solving:
Multiply equation (1) with 2 and subtract with equation(2)

Since our answer is 0=0 so, there are infinitely many solutions.
Keyword: Systems of equations
Learn more about Systems of equations at:
#learnwithBrainly
(4,-2) is point H
answer is B. second choice