Consider he function f(x)=2x-4 a.find the inverse of (x) and name it g(x) . Show your work B. Use function composition to show that f(x) and g(x) are inverses of each other .show work

Answers

Answer 1

Answer:

$A.\nf(x)=2x-4\to y=2x-4\n\n\text{change x to y and y to x}\n\nx=2y-4\n\n\text{solve for y}\n\n2y-4=x\qquad|+4\n\n2y=x+4\qquad|:2\n\ny=(1)/(2)x+2\n\nf^(-1)(x)=g(x)=(1)/(2)x+2\nB.\n\text{Verifying if two functions are inverses of each other is a simple two-step process.}\n1.\ \text{Plug}\ f(x)\ \text{into}\ g(x)\ \text{and simplify}\n2.\ \text{Plug}\ g(x)\ \text{into}\ f(x)\ \text{and simplify}\n\nIf\ g[f(x)]=f[g(x)]=x,\ then\ functions\ are\ inverses\ of\ each\ other.$

$f(x)=2x-4,\ g(x)=(1)/(2)x+2\n\ng[f(x)]=(1)/(2)(2x-4)+2=(1)/(2)(2x)+(1)/(2)(-4)+2=x-2+2=x\n\nf[g(x)]=2\left((1)/(2)x+2\right)-4=2\left((1)/(2)x\right)+2(2)-4=x+4-4=x\n\n\text{Since the results above came out OK, both}\ x,\text{ then we can claim}\n\text{that functions f (x) and g (x) are inverses of each other.}$

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Estimate Width of a room in cm, m, or km

Answers

The width of a room can be from around 15 cm to about 40 cm.
meaning 1 m
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A certain type of bamboo plant grow 1.2 feet in one day.At that rate how many feeet could the plant grow in 0.5 day

Answers

Answer:

0.6 feet

Step-by-step explanation:

We can easily solve this using proportion;

1.2feet = 1 day

x = 0.5day

cross multiply

x = 1.2 × 0.5

x=0.6 feet.

Therefore, at the same rate, the plant can grow 0.6 feet in 0.5day.

it will grow 0.6 feet in one half day

A+63 b+52c equal if a=6, b=51 and c=1/4

Answers

I did both things cas you left a space in between 63 b
A + 63 + b + 52c or A + 63b + 52c
6 + 63 +51+ 52 * 1/4 6 + 63 * 51 + 52 * 1/4
6 + 63 + 51 + 13.5 6 + 63 * 51 + 13.5
69 + 51 + 13.5 69 * 51 +13.5
120 + 13.5 3519 + 13.5
133.5 0r 133 1/2 3532.5 0r 3532 1/2
WELCOME :/

Marcus went on a diet and now weighs 140 lb he originally weighed 175 lb what percent of his weight did he lose

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Marcus lost 35 pounds. 35/175 is 20%.

Simplify the expression. (8x + 14) + (9x - 5)

Answers

use the associative property that says
a+(b+c)=(a+b)+c
and the commutative property that says
a+b=b+a
use together and get
(8x+14)+(9x-5)=8x+9x+14-5
add like terms
8+9=17
therefor
17x+14-5
14-5=9
17x+9 is the simpliefid form

A cylinder has a diameter of 6 ft and height of 9 ft. What is the volume of this cylinder?work plsss