Ask question

Ask question

All categories

2 years ago

9

Find the inverse of f(x)=4x+3

1 answer:

zhuklara [117]2 years ago

4 0

$f(x) = 4x+3\\\\\text{Write f(x) as y = 4x+3}\\\\\text{Replace x with y,}\\\\x =4y +3\\\\\text{Solve for y:}\\\\ \implies x =4y+3\\\\\implies 4y = x-3 \\\\\implies y =\dfrac{x-3}4\\\\\implies f^{-1} (x) = \dfrac{x-3}4\\\\\text{This is the inverse of f(x)}$

You might be interested in

What is 121 increased to 321???

Katarina [22]

Number increased = 321 - 121 = 200

Percentage increased, 200/121 * 100 = 165.29%

Hope this helps!

4 0

3 years ago

Read 2 more answers

In circle O. AD and BE are diameters. The measure of arc AB is 55° and the measure of arc CD is 25° B с F D E What is the measur

klemol [59]

Answer:

100°

Step-by-step explanation:

the total of all angles around O on one side of AD is 180° (as that would represent a half-circle).

and the sum of the arc angles AB + BC + CD covers the whole 180°.

so, we have

180 = 55 + BC + 25

180 = 80 + BC

BC = 100°

3 0

2 years ago

Decide wheather the Change is an increase or decrease and find the percent change original number =45 new number =18

oee [108]

Answer:

40% decrease

Step-by-step explanation:

7 0

3 years ago

The radius of the large sphere is double the radius of the small sphere. How many times is the volume of the large sphere than t

kobusy [5.1K]

The volume of a sphere is $\cfrac{4}{3}\ \pi r^3$

So, if the small sphere has radius $r$ and the largest sphere has radius $2r$ , their volumes are

$V_1 = \cfrac{4}{3}\ \pi r^3,\quad V_2 = \cfrac{4}{3}\ \pi (2r)^3 = \cfrac{4}{3}\ \pi 8r^3$

So, their ratio is

$\cfrac{V_2}{V_1} = \cfrac{\frac{4}{3}\ \pi 8r^3}{\frac{4}{3}\ \pi r^3} = 8$

7 0

3 years ago

Read 2 more answers

Explain how you could use estimation to get an appoximate answer for the expression below. (11.6+7.3) - (6.2 x 2.1)

Kruka [31]

Answer:

(11.6+7.3) - (6.2 × 2.1)

(18.9)-(13.02)

= 149.1

8 0

2 years ago