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zlopas [31]
3 years ago
14

Can someone tell me how to write an exponential function?

Mathematics
1 answer:
Tpy6a [65]3 years ago
8 0

Exponential functions look somewhat similar to functions you have seen before, in that they involve exponents, but there is a big difference, in that the variable is now the power, rather than the base. Previously, you have dealt with such functions as<span> f(x) = x2</span><span>, where the variable </span>x<span> was the base and the number </span>2<span> was the power. In the case of exponentials, however, you will be dealing with functions such as </span><span>g(x) = 2</span>x, where the base is the fixed number, and the power is the variable.

<span>Let's look more closely at the function </span><span>g(x) = 2</span>x<span>. To evaluate this function, we operate as usual, picking values of </span>x<span>, plugging them in, and simplifying for the answers. But to evaluate </span>2x<span>, we need to remember how exponents work. In particular, we need to remember that </span>negative exponents<span> mean "put the base on the other side of the fraction line".

If you need even more help here : </span>http://www.purplemath.com/modules/expofcns.htm

I live by that site, Hope this was helpful! :)

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F(x)=6x-18 sub in f(x/3), f(x)/3
arlik [135]

These are two separate problems: in the first we will have to substitute in a new value for x into the original equation and in the second we will manipulate the preexisting equation for f(x).

To begin, we will sub in f(x/3). To do this, we will substitute each variable x in the equation (in this case there is only one) with x/3, and then simplify the resulting equation.

f(x) = 6x - 18

f(x/3) = 6(x/3) - 18

To simplify, we should distribute the 6 on the right side of the equation.

f(x/3) = 6x/3 - 18

Now, we can divide the first term on the right side to finalize our simplification.

f(x/3) = 2x -18

Secondly, we are asked to find f(x)/3. To do this, we will take our original value for f(x), and then simplify divide that entire function by 3.

f(x) = 6x - 18

f(x)/3 = (6x-18)/3

This means that we must divide each term of the binomial by 3, so we are really computing

f(x)/3 = 6x/3 - 18/3

We can simplify by dividing both of the terms.

f(x)/3 = 2x - 6

Therefore, your answer is that f(x/3) = 2x - 18, but f(x)/3 = 2x - 6. It is important to recognize that these are two similar, yet different, answers.

Hope this helps!


8 0
3 years ago
Use the Distributive Property and simplify the expression. 6+4(3x–2)+5
shusha [124]
The\ distributive\ property:a(b-c)=ab-ac\\-------------------------\\6+4(3x-2)+5=6+4(3x)-4(2)+5\\\\=6+12x-8+5=12x+6-8+5=12x-2+5\\\\=\huge\boxed{12x+3}\leftarrow\boxed{c}
6 0
3 years ago
Read 2 more answers
NEED HELP Find values for a, b, c, and d so that the following matrix product equals the 2X2 identity matrix. Explain or show ho
ehidna [41]

We want to find the values of a, b, c, and d such that the given matrix product is equal to a 2x2 identity matrix. We will solve a system of equations to find:

  • b = 1
  • a = -1
  • c = -2
  • d = -1

<h3>Presenting the equation:</h3>

Basically, we want to solve:

\left[\begin{array}{cc}-1&2\\a&1\end{array}\right]*\left[\begin{array}{cc}b&c\\1&d\end{array}\right] = \left[\begin{array}{cc}1&0\\0&1\end{array}\right]

The matrix product will be:

\left[\begin{array}{cc}-b + 2&-c + 2d\\a*b + 1&a*c + d\end{array}\right]

Then we must have:

-b + 2 = 1

This means that:

b = 2 - 1 = 1

  • b = 1

We also need to have:

a*b + 1 = 0

we know the value of b, so we just have:

a*1 + b = 0

  • a = -1

Now the two remaining equations are:

-c + 2d = 0

a*c + d = 1

Replacing the value of a we get:

-c + 2d = 0

-c + d = 1

Isolating c in the first equation we get:

c = 2d

Replacing that in the other equation we get:

-(2d) + d = 1

-d = 1

  • d = -1

Then:

c  = 2d = 2*(-1) = -2

  • c = -2

So the values are:

  • b = 1
  • a = -1
  • c = -2
  • d = -1

If you want to learn more about systems of equations, you can read:

brainly.com/question/13729904

4 0
3 years ago
Will give brainliest answer
Iteru [2.4K]

Answer:

<h2>98 units</h2>

Solution,

Circumference of circle = 615.44 units

Radius = ?

Now,

Circumference of circle = 615.44

2\pi \: r = 615.44

2 \times 3.14 \times r = 615.44

6.28r = 615.44

r =  \frac{615.44}{6.28}

r = 98 \: units

Hope this helps...

Good luck on your assignment...

6 0
4 years ago
For example #1 what is the solution
Alex73 [517]

Answer: what is example 1

Step-by-step explanation: what is it

3 0
3 years ago
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