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2 years ago

Determine the range of the inverse of f(x) = 2x + 1

Mathematics

2 answers:

aleksandrvk [35]2 years ago

7 0

Answer:

The range is all real numbers for the inverse

Step-by-step explanation:

f(x) = 2x+1

The domain is all real numbers

The range is all real numbers

For the inverse, the domain becomes the range

The range becomes the domain

The domain is all real numbers

The range is all real numbers

Bingel [31]2 years ago

7 0

Step-by-step explanation:

Given the function f(x) = 2x + 1

find : the range of the inverse of f(x) = 2x + 1

solutions:

f(x) = 2x + 1

y = 2x + 1

2x = y - 1

x = (y -1)/2

f~¹(x) = (x-1) /2

since the denominator is the constant number, so the range of function is all Real numbers

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Describe and correct the error in rewriting the equation

Sloan [31]

2x - y = 5 <em>subtract 2x from both sides</em>

2x - 2x - y = 5 - 2x

- y = 5 - 2x

The sign "-" (minus) before y was lost.

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3 years ago

I need help with this what would k be? Or is she correct

charle [14.2K]

Answer:

The value of k=1

So, Maura claim is incorrect. The value of k=1 and not k=1/2

Step-by-step explanation:

We need to determine the value of k if $2^4=16^k$

We are given:

$2^4=16^k$

Exponent rule, if bases are equal the exponents are equal

We can write $16= 2^4$

$2^4=(2^4)^k\\2^4=2^{4k}$

Now since the base is same, i,e 2 so, the exponents will be same

$4=4k\\k=1$

So, the value of k=1

So, Maura claim is incorrect. The value of k=1 and not k=1/2

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3 years ago

Triangle ABC

Stolb23 [73]

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

Let's solve for value of values of x and y ~

According to Angle sum property of triangles :

$\qquad \sf \dashrightarrow \: 70 \degree + 58\degree + x = 180\degree$

$\qquad \sf \dashrightarrow \: x\degree + 128\degree = 180\degree$

$\qquad \sf \dashrightarrow \:x = 180\degree - 128\degree$

$\qquad \sf \dashrightarrow \: x = 52\degree$

Now, solve for y ~

$\qquad \sf \dashrightarrow \: 70\degree + 49\degree + y = 180\degree$

$\qquad \sf \dashrightarrow \: y + 119 = 180\degree$

$\qquad \sf \dashrightarrow \: y = 180 - 119\degree$

$\qquad \sf \dashrightarrow \: y = 61 \degree$

Now, by the results we got, we can conclude that :

The two triangles are not similar because 70 + 58 + x = 180 means x = 52° and 70 + 49 + y=180 means y = 61°

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Sophie [7]

-(4 1/5)
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3 years ago

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TiliK225 [7]

Answer:

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