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Helga [31]
3 years ago
5

Anyone know how to solve 7 and 11

Mathematics
1 answer:
Brums [2.3K]3 years ago
3 0

Answer:

7. f⁻⁻¹(x)=x-3                 11. f⁻⁻¹(x)= 2x/(1-x)

Step-by-step explanation:

to find the inverse of an expression:

1. change f(x) to y.

2. switch the x and y values.

3. solve to find y.

So....                                                              

                                                                       

7.) f(x)=x+3                              11.) f(x)=  x/(x+2)

y=x+3                                            y=x/(x+2)

x=y+3                                            x=y/(y+2)

f⁻⁻¹(x)=x-3                                       f⁻⁻¹(x)= 2x/(1-x)

                                                   

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lilavasa [31]

Answer:

y = 1.6x + 3.4

Step-by-step explanation:

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Here,

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<u>First, let us find the slope.</u>

For that, we can use the given two coordinates.

( -1 , 5 ) ⇒ ( x₁ , y₁ )

( 4 , -3 )  ⇒ ( x₂ , y₂ )

The <u>formula to find the slope</u> of a line is :

m = ( y₁ - y₂ ) ÷ ( x₁ - x₂ )

<u>Let us solve now.</u>

m = ( y₁ - y₂ ) ÷ ( x₁ - x₂ )

m = ( 5 - ( -3 ) ) ÷ ( -1 - 4 )

m = ( 5 + 3 ) ÷ -5

m = 8 ÷ -5

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Now let us<u> find the y-intercept (c )</u> of the line.

For that, let us get one of the coordinates which are given in the question.

I'll get ( -1 , 5 ) from  that.

( -1 , 5 ) ⇒ ( x , y )

<u>Let us solve now.</u>

y = mx + c

5 = -1.6 × -1 + c

5 = 1.6 + c

5 - 1.6 = c

<u>3.4 = c</u>

Therefore,

m ⇒ -1.6

c ⇒ 3.4

So, the equation of the line is :

y = mx + c

<u>y = 1.6x + 3.4</u>

5 0
2 years ago
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