Please asap I need this for a test

Mathematics

1 answer:

ki77a [65]1 year ago

4 0

Answer:

Step-by-step explanation:

(f O g) this basically means that the input x first goes trough the function g and then f. Like f(g(x)).

So when x went trough g, you got the output g(x) and then this went trough f and you got f(g(x)) = -8 = 'f(x)'.

With this in mind you can retrace your steps by first looking at what input can get -8 as an output, for f this is -4. this means g(x) = -4

Then you look at what input (this is the x you're looking for) gets you the ouput -4. Looking at the second image you'll picture see that it's the input 3.

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(show the supposition, proof and conclusion)

larisa86 [58]

Answer:

Step-by-step explanation:

We are given that a and b are rational numbers where $b\neq0$ and x is irrational number .

We have to prove a+bx is irrational number by contradiction.

Supposition:let a+bx is a rational number then it can be written in $\frac{p}{q}$ form

$a+bx=\frac{p}{q}$ where $q\neq0$ where p and q are integers.

Proof: $a+bx=\frac{p}{q}$

After dividing p and q by common factor except 1 then we get

$a+bx=\frac{r}{s}$

r and s are coprime therefore, there is no common factor of r and s except 1.

$a+bx=\frac{r}{s}$ where r and s are integers.

$bx=\frac{r}{s}-a$

$x=\frac{\frac{r}{s}-a}{b}$

When we subtract one rational from other rational number then we get again a rational number and we divide one rational by other rational number then we get quotient number which is also rational.

Therefore, the number on the right hand of equal to is rational number but x is a irrational number .A rational number is not equal to an irrational number .Therefore, it is contradict by taking a+bx is a rational number .Hence, a+bx is an irrational number.

Conclusion: a+bx is an irrational number.

5 0

2 years ago

Someone help with this pls

bixtya [17]

Answer:

A then C then D

Step-by-step explanation: If it is wrong sorry i am in 2 grade

6 0

2 years ago

Find the length of the missing side. It’s a written response

andre [41]