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3 years ago

What are the domain and range of f(x)= log x-5?

Mathematics

2 answers:

Nookie1986 [14]3 years ago

8 0

The answer is A
Domain: (0, infinity)
Range: ( - infinity, infinity)

Valentin [98]3 years ago

4 0

The domain of the function are all possible values for variable x and the range are all possible values for variable y.

The parrent function $y=\log x$ has

the domain $x>0;$
the range $(-\infty,\infty).$

The function $f(x)=\log x-5$ can be formed by translation the parrent function 5 units down.

The domain of the function $f(x)$ is the same as the domain of the parrent function.

Since the range of the parrent function is all real numbers, then the range of the function $f(x)$ are all real numbers too.

Answer: correct choice is A.

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klemol [59]

Answer:

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d + 0.06d

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2 years ago

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Vlad1618 [11]

Answer:

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3 years ago

Mr. Winking is purchasing a car and needs to finance $24,000 from the bank with an annual percentage rate (APR)

babymother [125]

Answer:

The monthly payment is $450.71

Step-by-step explanation:

Financial Computing

Given the loan amount A, the loan term t, and the APR (annual percentage rate), the montly payment is computed as

$\displaystyle P=\frac{A}{f}$

where f is

$\displaystyle f=\frac{1-(1+i)^{-n}}{i}$

The provided data is

$\displaystyle A=24,000$

$\displaystyle r=4.8\%$

$\displaystyle t=5\ years$

Since the payments will be made monthly, the values of n and i are:

$\displaystyle i=\frac{4.8}{100\times12}=0.004$

$\displaystyle n=5\times12=60\ months$

Calculating f:

$\displaystyle f=\frac{1-(1+i)^{-n}}{i}$

$\displaystyle f=\frac{1-(1+0.004)^{-60}}{0.004}$

$\displaystyle f=53.25$

Now for the payments:

$\displaystyle P=\frac{24.000}{53.25}=450.71$

$\boxed{\displaystyle P=\$450.71}$

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