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const2013 [10]
2 years ago
10

What is the domain and range of f(x)=(1/5)^x

Mathematics
2 answers:
Harrizon [31]2 years ago
8 0

Answersadfs:

Domain of the exponential function is (-∞, ∞)

the range is (0, ∞)

Stasdfep-by-step explanation:

f(x)=(/frac{1}{5})^x

Domain is the set of x values for which the function is defined. there is no restriction for x in exponential function.

Domain of the exponential function is (-∞, ∞)

Range is the set of y values for which the function is defined

For range, of we plug in positive or negative number for x  the value of y is always positive because we have exponent x

Hence the range is (0, ∞)

maw [93]2 years ago
7 0

Answer:

Domain = (-∞,∞) Range = (0,∞)

This is an exponential function.

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3 years ago
Find the equation of the line that goes through (-8,11) and is perpendicular to x= - 15. Write the equation in the form x = a, y
galben [10]

Answer:

y=11

Step-by-step explanation:

Hi there!

We want to find the equation of the line that passes through the point (-8, 11) and is perpendicular to x=-15

If a line is perpendicular to another line, it means that the slopes of those lines are negative and reciprocal; in other words, the product of the slopes is equal to -1

The line x=-15 has an undefined slope, which we can represent as 1/0, which is also undefined.

To find the slope of the line perpendicular to x=-15, we can use this equation (m is the slope):

m_1*m_2=-1

m_1 in this instance would be 1/0, so we can substitute it into the equation:

\frac{1}{0} *m_2=-1

Multiply both sides by 0

m_2=0

So the slope of the new line is 0

We can substitute it into the equation y=mx+b, where m is the slope and b is the y intercept:

y=0x+b

Now we need to find b:

Since the equation passes through the point (-8,11), we can use its values to solve for b.

Substitute -8 as x and 11 as y:

11=0(-8)+b

Multiply

11=0+b, or 11=b

So substitute into the equation:

y=0x+11

We can also write the equation as y=11

Hope this helps!

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2 years ago
Which expression is equivalent to 3x - -3y
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The two minus signs make a plus sign. Therefore, we replace the minus signs with a plus sign, getting 3x + 3y.

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hope this helped

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