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Dima020 [189]
3 years ago
11

Which is the range of the function f(x) =(9)x?

Mathematics
2 answers:
Annette [7]3 years ago
5 0

f(x) =(9)x = 9x

It's linear function. Domain and range are all real numbers

Answer

Range is all real numbers

andriy [413]3 years ago
5 0

Answer:

(0,∞)

Step-by-step explanation:

Given: f(x)=9^x

It is an exponential function whose base is 9.

If base is greater than 1 then function is growth exponential.

Domain: All real value of x.

Range: It is output value of function we get by putting x.

For x approaches to infinity , y → ∞

For x approaches to negative infinity, y → 0

Range: All positive real number.

Range: (0,∞)

Hence, The range of the given function is  (0,∞)

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The sum of three consecutive integers is -126. What are the integers?
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Answer:

Three consecutive even integers can be represented by x, x+2, x+4. The sum is 3x+6, which is equal to 108. So its, 3x+6=108.

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If f(x)=5x+a and f-1(10)=-1, find a
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Answer:

15

Step-by-step explanation:

Given the function

f(x)=5x+a

and f^{-1} (10)=-1(f^{-1} \text{is the inverse function of f})

let f(x)=y

Substitute in f(x)

y=5x+a\\y-a=5x\\x=\frac{y-a}{5}

From the definition inverse function

if f(x)=y    ⇒   f^{-1} (y)=x

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Substitute y=10

⇒

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Therefore a=15

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