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Bond [772]
3 years ago
7

Here have some points

Mathematics
2 answers:
Lisa [10]3 years ago
8 0

Answer:

bet thanks

Step-by-step explanation:

kozerog [31]3 years ago
5 0

Answer:

Cheers bro ;)

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Let f(x)=2/x-3. Find f^-1(x)
KonstantinChe [14]

Answer:

Two questions:

Question 1: f^{-1}(x)=? given f(x)=\frac{2}{x}-3.

Answer 1: f^{-1}(x)=\frac{2}{x+3}

Question 2: f^{-1}(x)=? given f(x)=\frac{2}{x-3}.

Answer 2: f^{-1}(x)=\frac{2}{x}+3

Step-by-step explanation:

So f^{-1} is used in most classes to represent the inverse function of f.

The inverse when graphed is a reflection through the y=x line. The ordered pairs (a,b) on f implies (b,a) are on f^{-1}.

This means we really just need to swap x and y.

Since we want to write as a function of x we will need to solve for y again.

Question 1:

y=\frac{2}{x}-3

Swap x and y:

x=\frac{2}{y}-3

We want to solve for y.

Add 3 on both sides:

x+3=\frac{2}{y}

Make the left hand side a fraction so we can cross-multiply:

\frac{x+3}{1}=\frac{2}{y}

Cross multiply:

y(x+3)=1(2)

Simplify right hand side:

y(x+3)=2

Divide both sides by (x+3):

y=\frac{2}{x+3}

So f^{-1}(x)=\frac{2}{x+3}.

Question 2:

y=\frac{2}{x-3}

Swap x and y:

x=\frac{2}{y-3}

Make left hand side a fraction so we can cross multiply:

\frac{x}{1}=\frac{2}{y-3}

Cross multiply:

(y-3)x=1(2)

We have to distribute here:

yx-3x=2

Add 3x on both sides:

yx=2+3x

Divide boht sides by x:

y=\frac{2+3x}{x}

You could probably stop here but you could also simplify a little.

Separate the fraction into two terms since you have 2 terms on top bottom being dividing by x:

y=\frac{2}{x}+\frac{3x}{x}

Simplify second fraction x/x=1:

y=\frac{2}{x}+3

So f^{-1}(x)=\frac{2}{x}+3.

7 0
2 years ago
If y varies directly as x, and y = 10 when x = 9, find y when x = 1/9
Vinvika [58]

Answer:

10/81

Step-by-step explanation:

let,

y=kx

y=10 when x=9

so,

10=k×9

or, k=10/9

when x=1/9

y=kx

or, y=(10/9)×(1/9)

or, y=10/81

5 0
2 years ago
What is the first step in solving this equation? 2x + 6 = 12x - 2
SpyIntel [72]
Do the multiplication first PEMDAS
8 0
3 years ago
Read 2 more answers
Solve for the inverse of the following function:<br><br> f(x)=4x-16
MatroZZZ [7]
I think it’s (x+16)/4
6 0
3 years ago
Use your knowledge of the process of "Writing an equation given two points" to solve the following problem: A vendor has learned
nydimaria [60]

Answer: Our required linear equation would be x+48y=148

Step-by-step explanation:

Since we have given that

Cost of deep fried bananas on a stick = $1.00

Number of sales reached = 100 per day

Cost of deep fried bananas on a stick becomes = $2.00

Number of sales reached = 52 per day.

Let x is the number of dollars each.

Let y be the number of vendors sale.

So, we need to form the linear equation:

As we know the formula for two point slope form:

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-1=\dfrac{2-1}{52-100}(x-100)\\\\y-1=\dfrac{1}{-48}(x-100)\\\\-48(y-1)=(x-100)\\\\-48y+48=x-100\\\\-48y=x-100-48\\\\-48y=x-148\\\\x+48y=148

Hence, our required linear equation would be x+48y=148

3 0
3 years ago
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