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4 years ago

8

Work and answer shown please

1 answer:

Mrac [35]4 years ago

3 0

I get 2 and 1.

factor out (x-2)(x-1)
Set each to 0....and solve

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What is the inverse of f(x)=e^x

enot [183]

Answer:

$f^{-1}(x)=\ln{x}$

Step-by-step explanation:

An <em>inverse</em> function is any function that "undoes" another function. If we think of the function $f$ as some kind of machine that takes in a number $x$ as input and produces a number $f(x)$ as an output, when we give inverse function $f^{-1}$ the number $f(x)$ as in input, we get $x$ , our original input, as the output $f^{-1}(x)$

We need a function that undoes $f(x)=e^x$ , and the natural choice for undoing an exponent is with a logarithm. Here, our base is $e$ , so we'll choose $\log_e{x}=\ln{x}$ as our inverse function. Let's see how that works:

$f^{-1}(f(x))=\ln{e^x}$

$\ln{e^x}$ is the power we have to raise $e$ to to get $e^x$ , which is $x$ , so

$f^{-1}(f(x))=\ln{e^x}=x$

And we have our function.

8 0

3 years ago

Is y=2x+3 proportional

Nataly [62]

Answer:

no

Step-by-step explanation:

I calculated

7 0

3 years ago

Read 2 more answers

A painter uses the expression 35h + 30c to determine how much he charges a customer for a job that takes h hours and c cans of p

Savatey [412]

Answer:

c) $615

Step-by-step explanation:

The expression used to determine how much is the charge for the customer after the job is

$p=35h+30c$

where

h is the number of hours the job took

c is the number of cans of paint used during the job

In this problem:

c = 3 (the painter used 3 cans of paint)

h = 15 (the painter took 15 hours for the job)

So substituting these values into the equation for p, we find the total value that the painter charged for the job:

$p=35\cdot 15 + 30 \cdot 3 =615$

So, the correct answer is

c) $615

5 0

3 years ago

The sum of two consecutive even integers is 106. what are the integers

jolli1 [7]

Let the consecutive even integers be x and (x+2).

x + (x + 2) = 106

2x + 2 = 106

2x = 104

x = 52

Thus the two integers are 52 and 54.

7 0

3 years ago

Need help ASAP!!!! :)

Vilka [71]

Answer:

B. All real numbers

General Formulas and Concepts:

<u>Algebra I</u>

Domain is the set of x-values that can be inputted into function f(x)

Step-by-step explanation:

According to the graph, we see that the line's x-values span from negative infinity to infinity. Therefore our domain encapsulates all real numbers.

4 0

3 years ago