The domain of the logarithm function is (0, ∞) and the range of the logarithm function will be (-∞, ∞)
<h3>What are domain and range?</h3>
The domain means all the possible values of the x and the range means all the possible values of the y.
The table is shown below.
Let the logarithm function with the variables x and y. Then we have
y = logₐ x
At x = 25, the value of y will be 2. Then the value of a will be
2 = logₐ 25
2 = 2 logₐ 5
1 = logₐ 5
Then 1 can be written as
1 = log₅ 5
Then on comparing, the value of a will be
a = 5
Then the logarithm function will be
y = log₅ x
Then the domain of the logarithm function is (0, ∞) and the range of the logarithm function will be (-∞, ∞)
More about the domain and range link is given below.
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Answer:
well if he has a coupon for a BOGO of buy one get one free then if he pays full price for his then redeems the code then he should get the second one free
since there is 5 numbers less than 6, the first time it will be 5/10 or 1/2 and then they dont get replaced meaning that the second time it is 4/9 which then when they are multiplied it is 1/2*4/9 which is 4/18 or 2/9 so the answer is 2/9
F(x) = ax + b
Usa-se a informacao dada para criar um sistema de 2 equacoes com 2 variaveis. Resolve-se o sistema pare determinar os valores de a e b.Uma vez que se sabe os valores de a e b, escreve-se a funcao f com os valores de a e b. Finalmente calcucla-se f(3) usando a funcao f.
f(-1) = 3
a(-1) + b = 3
f(1) = -1
a(1) + b = -1
O sistema de equacoes e o seguinte.
Resolvemo-lo par adicao.
A variavel a e eliminada.
-a + b = 3
a + b = -1
2b = 2
b = 1
a + 1 = -1
a = -2
Agora sabemos the a = -2 e b = 1.
Escrevemos a funcao f usando os valores the a e b calculados..
f(x) = -2x + 1
f(3) = -2(3) + 1 = -6 + 1 = -5
f(3) = -5
Answer:
41
Step-by-step explanation:
We know that complex numbers are a combination of real and imaginary numbers
Real part is x and imaginary part y is multiplied by i, square root of -1
Modulus of x+iy = 
Here instead of x and y are given 9 and 40
i.e. 9+40i
Hence to find modulus we square the coefficients add them and then find square root
|9+49i| =
By long division method we find that
|9+40i| =41
