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3 years ago

Suppose f(×) = 2^×, sketch a graph of f(×) and f^-1(×)

Mathematics

1 answer:

musickatia [10]3 years ago

7 0

Let f(x) = y

y = 2^x

x = 2^y

Solve for y.

ln x = ln(2^y)

ln x = y ln 2

ln x/ln 2 = y

Replace y with f^(-1) x.

f^(-1) x = ln x/ln 2

We now know f(x) and f^(-1) x.

Use your graphing calculator to graph the function and its inverse on the same xy-plane. If you don't have a graphing calculator, use DESMOS online.

Good luck.

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You need to write an essay that has at least 500 words. You have written 285 words so far. Write and solve an inequality that re

BabaBlast [244]

Answer:

The minimum number of words left to write is 215

Step-by-step explanation:

Let

w -----> the number of words left to write

we know that

The number of words left to write plus the words written so far must be greater than or equal to 500 words

Remember that the word "at least" means "greater than or equal to"

$w+285\geq 500$

Solve for w

Subtract 285 both sides

$w\geq 500-285\\w\geq 215$

The minimum number of words left to write is 215

4 0

3 years ago

Select the correct answer.<br> Which statement is true?

dusya [7]

Answer:

third option is the correct

Step-by-step explanation:

A function is "odd" when f (-x) = - f (x) for all x. ... For example, functions like

f (x) = x3,
f (x) = x5,
f (x) = x7, ... are odd functions.

6 0

2 years ago

Read 2 more answers

3) The table below shows the number of cups of ginger

JulijaS [17]

So column A needs to all be the same multiples of 4 so 4•3 is 12 and so other multiples need to be placed

3 0

3 years ago

Arithmetic sequence

KonstantinChe [14]

Answer: Arithmetic Sequence

Step-by-step explanation:

An Arithmetic Sequence is a sequence where each term increases by adding/subtracting some constant k. This is in contrast to a geometric sequence where each term increases by dividing/multiplying some constant k.

5 0

3 years ago

Alicia earned d dollars baby-sitting. Her friend earned twice as much. You earned $2 less than Alicia's friend earned. Write an

Semenov [28]

Answer:

$Total = \$5d - 2$

Step-by-step explanation:

Represent Alice with A, her friend with F and you with Y.

From the question, we have:

$A = \$d$

$F = 2 * A$ --- Twice as much Alice means 2 times Alice's earnings

$Y = F - 2$ --- 2 less than her friend

Required

Determine the total amount

$A = \$d$

Substitute $\$d$ for A in $F = 2 * A$

$F = 2 * \$d$

$F = \$2d$

Substitute $\$2d$ for F in $Y = F - 2$

$Y = \$2d - 2$

The total amount is calculated by adding the earnings of Alice, her friend and you

$Total = A + F + Y$

$Total = \$d + \$2d + \$2d - 2$

$Total = \$5d - 2$

<em>Hence, the total earnings is 5d - 2</em>

4 0

3 years ago

Suppose f(×) = 2^×, sketch a graph of f(×) and f^-1(×)​

Suppose f(×) = 2^×, sketch a graph of f(×) and f^-1(×)