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4 years ago

Given :f(x) =1/x+5 and g(x) =x-2 What are the restrictions of the domain of f(g(x))?

Mathematics

2 answers:

LUCKY_DIMON [66]4 years ago

8 0

Answer:x≠-3

Step-by-step explanation:

emmainna [20.7K]4 years ago

5 0

I don't know if it's (1/x )+ 5 or 1/(x+5) anyways
g(x) = x-2 so in f(g(x)) you replace every x with x-2
f(g(x)) = (1/(x-2)) + 5 or 1/(x-2-5) = 1/(x-7)
if the function is like the first form so you avoid numbers which will make your denominator equals zero
x-2 = 0, x=2 or x-7 = 0, x=7
so if it's like first one answer is R - 2
if it's second answer is R - 7

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FONTS

Wewaii [24]

Answer:

x=5

Step-by-step explanation:

9x^2 - 2x + 25 = 8x^2 + 8x

9x^2-8x^2-2x-8x+25=0

x^2-6x+25=0 factorize

(x-5)(x-5)=0

x-5=0 then x=5

8 0

3 years ago

Price: ? Discount: 5% Sale Price: $57

liq [111]

I just answered this.... :]

x - 0.05x = 57,
0.95x = 57,
57/0.95 = original price
Original price = $60

3 0

4 years ago

strojnjashka [21]

Answer:

2500 pence (C = 2500)

Step-by-step explanation:

$C = 10t + 20m$

From the given information, t is the number of texts so essentially you will plug in the number of texts provided (150) in the place of the variable t.

$C = 10(150) + 20m$

Apply the same thing to minutes, plug in the number of minutes (50) in the place of the variable m.

$C = 10(150) + 20(50)$

Now multiply the substitutes with the co-efficient.

$C = 1500 + 1000$ (10*150=1500 & 20*50=1000)

Add the addends

C = 2500

7 0

3 years ago

Explian how to tell wherher (2,-1) is a solution of the equation y=3x-2

jolli1 [7]

Answer:

it is not a solution

Step-by-step explanation:

You would plug them in

-1=3(2)-2

-1=6-2

-1=4

4 0

4 years ago

Read 2 more answers

Use the Pythagorean Theorem to find an approximate value of x

kozerog [31]

Answer:

Step-by-step explanation:

Hypotenuse² =base² + altitude²

(3x + 4)² = (2x + 1)² + (3x)²

{Use (a+b)² = a² + 2ab + b²}

(3x)² + 2*3x+4 + 4² = (2x)² + 2*2x*1 + 1² + 9x²

9x² + 24x + 16 = 4x² + 4x + 1 + 9x²

9x² + 24x + 16 = 13x² + 4x + 1

0 = 13x² + 4x + 1 - 9x² - 24x - 16

13x² - 9x² + 4x - 24x +1 - 16 = 0

4x² - 20x - 15 = 0

a = 4 ; b =-20 ; c = -15

D = b² - 4ac = (-20)² - 4*4*(-15) = 400 + 240 = 640

√D = √640 = 25.30

$x=\dfrac{-b+\sqrt{D}}{2a} \ ; \ x=\dfrac{-b-\sqrt{D}}{2a}\\\\\\x=\dfrac{20+25.30}{2*4} \ ; \ x=\dfrac{20-25.30}{2*4}\\\\\\x=\dfrac{45.30}{8} \ ; \ x =\dfrac{-5.30}{8}\\\\$

x = 5 .66 ; x = -0.66

Ignore x = -0.66 as length of a side cannot be negative

Answer : x = 5.66

7 0

2 years ago