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adelina 88 [10]

3 years ago

12

F(x)=sqrt x+2; g(x)=sqrt 8x-6. FInd f(g(x))

1 answer:

zhenek [66]3 years ago

7 0

Hello!

This question is an example of composition of functions. It is using range values of some given function as domain values of some other given function to find new range values. Remember that the domain of the composite function will be the same as the domain of the first function.

Given f(g(x)), for f = $\sqrt{x+2}$ , substitute x with g(x) = $\sqrt{8x-6}$ .

Therefore, $f(g(x))= \sqrt{\sqrt{8x-6} +2}$ .

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In △ABC, ∠ABC = 60○

Temka [501]

A given shape that is <u>bounded</u> by three sides and has got three <em>internal angles</em> is referred to as a <u>triangle</u>. Thus the <em>value</em> of PB is <u>8.0</u> units.

A given <u>shape</u> that is <em>bounded</em> by three <em>sides</em> and has got three <em>internal angles</em> is referred to as a <em>triangle</em>. Types of <u>triangles</u> include right angle triangle, isosceles triangle, equilateral triangle, acute angle triangle, etc. The<em> sum</em> of the <u>internal</u> <u>angles</u> of any triangle is $180^{o}$ .

In the given question, point P is such that <APB = <APC = <BPC = $120^{o}$ . Also, line PB bisects <ABC into two <u>equal</u> measures. Thus;

<ABP = $30^{o}$

Thus,

<ABP + <APB + <BAP = $180^{o}$

30 + 120 + <BAP = $180^{o}$

<BAP = $180^{o}$ - 150

<BAP = $30^{o}$

Apply the <em>Sine rule</em> to determine the <u>value</u> of <em>PB</em>, such that;

$\frac{AP}{Sin B}$ = $\frac{BP}{Sin30}$

$\frac{8}{Sin30}$ = $\frac{BP}{Sin 30}$

BP = $\frac{8*Sin30}{Sin 30}$

= $\frac{4}{0.5}$

BP = 8.0

Therefore, the <u>value</u> of <u>BP</u> = 8 units.

For more clarifications on applications of the Sine rule, visit: brainly.com/question/15018190

#SPJ1

8 0

2 years ago

HELP ME PLSSSSSS THIS IS HARD

Novosadov [1.4K]

Step-by-step explanation:

Given:

Function 'f' with two variables 'x' and 'y'.

To find:

Function rule if the parent function 'f' is rotated by 270° clockwise.

Solution:

A function given with two variables 'x' and 'y',

f(x,y) → (x, y)

If this function is rotated by 270° clockwise, the function rule will become,

f(x, y) → (-y, x)

Therefore, Option A will be the correct option.

6 0

3 years ago

Read 2 more answers

I need help with this asap please

Lorico [155]

Answer:

The perimeter is 100 feet. This means that all the sides of the shape must add up to equal 100.

x + x + 5 + x - 3 + x + 4 = 100

4x + 5 - 3 + 4 = 100

4x + 6 = 100

4x = 94

x = 94/4

x = 23.5 feet

3 0

3 years ago

Given: SY and TZ, transversal UX ∠YVW and _______ are alternate interior

Bond [772]

< yvw and < twv are alternate interior angles

opposite sides of the transversal and inside are alternate interior angles

4 0

3 years ago

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X,y,z and l are proportional quantites, prove that : y–x/x = l–z/z

Vera_Pavlovna [14]

Answer:

y=24

Step-by-step explanation:

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2 years ago