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OlgaM077 [116]
3 years ago
15

Given that f(x)=x^2-1 A) find f(5) B) find f^-1(x) C)f^-1(8)

Mathematics
1 answer:
Lerok [7]3 years ago
5 0

Answer:

a)  f(5) = 24

b) The inverse of given function

              f⁻¹ ( x ) = √x+1

c)    f⁻¹ ( 8 ) = √9 =3

Step-by-step explanation:

Explanation:-

Given  f(x) = x² - 1

a)

    <em>   f(5) = 5² -1 = 25-1 =24</em>

b)      

put y =  f(x) = x² - 1

   ⇒   y =  x² - 1

 ⇒     x² = y + 1

⇒     x = √y+1

⇒ f⁻¹ ( y ) = √y+1      ( ∵ f⁻¹ ( y) =x)

<em>The inverse of given function </em>

<em>               f⁻¹ ( x ) = √x+1</em>

c)   put x=8

           <em>  f⁻¹ ( 8 ) = √8+1 = √9 =3</em>

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In this relationship between the number of miles per gallon on the highway and that in the city for some cars are:

For each additional city mpg, the highway value goes up by

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And It is inappropriate to interpret the intercept because no cars get 0 mpg in the city.

According to the statement

we have given that the relationship between the number of miles per gallon on the highway in the graphical representation and that in the city for some cars.

And we have to give some reasons for the given statements.

So, For this purpose, we know that the

A. In this statement we have to tell that the what is shown in the given relationship in the graph.

So, For each additional city mpg, the highway value goes up by

0.9478 mpg.

And the second statement is

B. I this we have to tell the intercept of the plane in the given Relationship.

So, It is inappropriate to interpret the intercept because no cars get 0 mpg in the city.

So, In this relationship between the number of miles per gallon on the highway and that in the city for some cars are:

For each additional city mpg, the highway value goes up by

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And It is inappropriate to interpret the intercept because no cars get 0 mpg in the city.

Learn more about graph here

brainly.com/question/4025726

Disclaimer: This question was incomplete. Pleas find the full content below.

Question:

The figure shows the relationship between the number of miles per gallon on the highway and that in the city for some cars.

a. Report the slope and explain what it means.

b. Either interpret the intercept​ (7.792) or explain why it is not appropriate to interpret the intercept.

#SPJ4

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