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vlabodo [156]
3 years ago
14

Identify whether the function f(x)=3x5 is a monomial function, power function, both, or neither.

Mathematics
1 answer:
marshall27 [118]3 years ago
6 0

Answer:

f(x)=3x5 is both  monomial function, power function

Step-by-step explanation:

Monomial function is one which has only one term that is non-zero term.

example

b is a monomial with one variable

5xy^2 is a monomial with two variable

10x^10 is a monomial with one variable.

_______________________________________

power function is one which consist of a coefficient, a variable and that variable is raised to some non-zero power.

example

2x^6

area of circle = \pi r^2

_____________________________________

given function

f(x)=3x5

1. it has only one non zero term thus qualifies to be called monomial

2. It has a coefficient 5, a variable x and that x is raised to some non-zero power 5. Thus, it is a power function as well.

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For this case we have the following expressions:

x \leq-2\\x \geq0

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That is, from -∞ to -2.

x \geq0 Indicates all values greater than or equal to 0.

That is, from 0 to ∞.

The "or" means that they do not intersect. So, the correct graph is option A.

Answer:

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3 years ago
4. Determine whether f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.
Ierofanga [76]

Answer:

YES! we conclude that f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.

Step-by-step explanation:

Given

Given that the function f(x) and g(x) are inverse functions.

f\left(x\right)\:=\:\frac{1}{3}x\:+\:5

g(x) = 3x - 15

To determine

Let us determine whether f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.

<u>Determining the inverse function of f(x) </u>

A function g is the inverse function of f if for y = f(x), x = g(y)

y=\frac{1}{3}x+5

Replace x with y

x=\frac{1}{3}y+5

Solve for y

y=3x-15

Therefore,

YES! we conclude that f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.

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