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3 years ago

9

If f(x)=3x+2 what is the equation for f^-1(x)

1 answer:

Elden [556K]3 years ago

4 0

Answer:

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

Step-by-step explanation:

To find the inverse function, swap x and y, then solve for y.

y = 3x +2 . . . . given function

x = 3y +2 . . . . inverse relation

x -2 = 3y . . . . subtract 2

(x -2)/3 = y . . . divide by 3

f^-1(x) = (x -2)/3 . . . . in functional form

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The total cost of a jacket and a pair of shoes was $52.95. If the price of the jacket was $3.87 less than the pair of shoes, wha

abruzzese [7]

The price of jacket was $24.54

Step-by-step explanation:

Let,

Cost of jacket = x

Cost of pair of shoes = y

According to given statement;

x+y=52.95 Eqn 1

x = y-3.87 Eqn 2

Putting value of x from Eqn 2 in Eqn 1

$(y-3.87)+y=52.95\\y-3.87+y=52.95\\2y=52.95+3.87\\2y=56.82\\$

Dividing both sides by 2

$\frac{2y}{2}=\frac{56.82}{2}\\y=28.41$

Putting y=28.41 in Eqn 2,

$x=28.41-3.87\\x=24.54$

The price of jacket was $24.54

Keywords: linear equation, division

Learn more about linear equations at:

#LearnwithBrainly

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3 years ago

G=(z-s)/r solve for z

ryzh [129]

Step-by-step explanation:

G = (z-s) ÷ r

G × r = (z- s)

Gr + s = z

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3 years ago

Which numbers in set A are elements in both the subset of odd numbers and the subset of multiples of 3? Plz help I will give the

hodyreva [135]

Only 3 and 9 are both the subset of odd numbers and the subset of multiples of 3.

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3 years ago

Part A: The area of a square is (16x2 − 8x + 1) square units. Determine the length of each side of the square by factoring the a

d1i1m1o1n [39]

Answer:

see below

Step-by-step explanation:

16x^2 − 8x + 1

(4x)^2 -8x +1

Factor

This is a perfect square trinomial

a^2 -2ab +b^2 = (a-b)(a-b)

(4x)^2 -8x +1 = (4x-1) (4x-1)

The area of a square is given by

A = s^2

(4x-1) ^2 = s^2

4x-1 = s

The side length is 4x-1

(81x^2 − 4y^2)

(9x)^2 - (2y)^2

This is the difference of squares

a^2 - b^2 = (a-b) (a+b)

(9x-2) (9x+2)

The area of a rectangle is

A = l*w

(81x^2 − 4y^2) = (9x-2) (9x+2)

The dimensions are (9x-2) (9x+2)

3 0

2 years ago

PLZ ans have mocks plz

Yanka [14]

Answer:

The table will be:

x |-2 | -1 | 0 | 1 | 2

y | 1 | 4 | 5 | 4 | 2

Step-by-step explanation:

The function is:

$y=5-x^{2}$

a) The x values of the table is:

x |-2 | -1 | 0 | 1 | 2

So, when x = -2, y will be:

$y(-2)=5-(-2)^{2}=5-4=1$

Doing the same with the other x values we have:

$y(-1)=5-(-1)^{2}=5-1=4$

$y(0)=5-(0)^{2}=5$

$y(1)=5-(1)^{2}=5-1=4$

$y(2)=5-(2)^{2}=5-4=1$

The table will be:

x |-2 | -1 | 0 | 1 | 2

y | 1 | 4 | 5 | 4 | 1

I hope it helps you!

5 0

2 years ago