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3 years ago

F(x) = 2/x, g(x) = |x| -1 What is the domain of (fog) (x)? will mark brainliest

Mathematics

1 answer:

brilliants [131]3 years ago

3 0

Answer:

x≠-1,1

Step-by-step explanation:

f(g(x)) is a composition where g(x) is is substituted for x in f(x).

Recall, f(x) is 2/x. So we write 2/|x|-1. This places x in the denominator and 0 cannot be in the denominator x. Any value of x that makes the denominator 0 will not be in the domain.

|x|-1=0

|x|=1

x=1,-1

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dnw snow storm Francisco had 17 inches of snow on his lawn.the temperature then increased in the snow begin to melt at a consist

stich3 [128]

Answer:

Step-by-step explanation:

(equation: 17-2.5=2)

17-2.5=2

-2.5

17=2

17 divided by 2

8.5 is the

he would have 8.5 inches of snow on his lawn.

4 0

3 years ago

Solve for x. Sqrt8 (Sqrt2 - x) = 11

Alexus [3.1K]

Answer: $\frac{-7\sqrt{2} }{4}$

Step-by-step explanation:

So first, let's get rid of the parentheses. We can multiply it out to get $\sqrt{16}-x\sqrt{8} =11$ . We know that the square root of 16 is ±4, so now our equation is ±4 - $x\sqrt{8}$ =11. I'm guessing since the problem only has one solution it's most likely only positive 4, so let's revise our equation to 4 - $x\sqrt{8}$ =11. We can use inverse operations to make the a little easier to solve: -7= $x\sqrt{8}$ . We divide both sides by $\sqrt{8}$ to get $\frac{-7}{\sqrt{8} } =x$ , which we can rationalize (remove the square root from the denominator so that it's a proper answer) by multiplying by $\frac{\sqrt{8} }{\sqrt{8} }$ (which is equal to one so we can use it) which is equal to $\frac{-7\sqrt{8} }{8}$ . Let's finish this by simplifying it. $\sqrt{8} =2\sqrt{2}$ (2x $2^{2}$ ). We can simplify it further by simplifying the 2, making it $\frac{-7\sqrt{2} }{4}$ .

Hope this wasn't too confusing! I'll answer any questions.

8 0

3 years ago

Read 2 more answers

Find a linear equation whose graph is the straight line with the given property.

jeka57 [31]

Answer:

y = 3/4x - 9/8

Then read explanation and see here with 2 coordinates would make

if 3/4 = -6 then 1 = -8

y = -6x + c

-6 / 3/4 + 9/8 / - 0.5 = -2.25

therefore c = -2.25

y = -6x - 2.25

y = -6x - 9/4 and again 9/4 can be found easily if round up fraction decimal to 225/100 and divide by 4

Step-by-step explanation:

C1) (0.5 , -0.75)

C2) ( 1. -3.75)

y = mx + c

-3.75 - - 0.75 / 1 - 0.5 = -3.75 + 0.75 / 0.5

= -3 / 0.5 = m

m = -6

y = -6x + c

then this works given just one coordinate to solve for 1 or 2 sets given points

y - y1 = mx+c

y - - 0.75 = 0.75 (x - x1)

y + 0.75 = 0.75 (x - 0.5)

y + 0.75 = 0.75x - 0.375

y = 0.75 - 0.75 = 0.75x( - 0.375 - 0.75)

y = 0.75x -1.125

y = 3/4x - 9/8 as common denominators of 1125/1000 is 9/8 as we divide by 125 into the fraction as we start at 250 and check its half just like when finding common denominators we 1/4 the lower number and see if we can find its half or its double etc with the other num er as first step for 3sf numbers.

5 0

3 years ago

I will give thanks and five stars to the person that helps me.

pentagon [3]

Answer:

Third option is correct!

Step-by-step explanation:

x+19<28

or, x<9

x = {3,4,5,6}

8 0

3 years ago

Solve the following equation 2/3x+6=1/2x+1/4x

Vanyuwa [196]

Answer:

x= 72

Step-by-step explanation:

combine the Xs on one side and then make the denominators the same and solve

8/12X +6 = 3/4X

sub 6 on both sides

then sub 3/4 (aka. 9/12)

-1/12X= -6

multiply by reciprocal (the fraction flip-flopped)(-12) on both sides

and you get 72

4 0

3 years ago