Can someone help me with this one

Mathematics

1 answer:

umka21 [38]3 years ago

5 0

So, i will give the point slope form and then you can sole it out.

Using point (4,1) and (3,4)

SLOPE: 4-1/3-4=3/-1=-3

Using (4,1)

y-1=-3(x-4)

Then you have to isolate y

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Functions & (f o g) (#)

sertanlavr [38]

Hello there!

I'm assuming since there is no question, that you want an explanation for composite functions.

Today, I want to introduce you to a very new way of looking at functions. Think of a function as a machine. I'll call this machine f. When you plug something into this machine, it is an x-value. The machine changes the x-value into a new value which is called a y-value. This is how a function works.

With composite functions though, things get a little bit tricky. To make f(g(x)), you need to plug in x into the g machine, and it will give you an output. (y-value) The next thing you do is take that y-value and plug it into the g machine. The g machine then gives you a new value. This value is f(g(x)).

Let's do an example together...
f(x)=3x and g(x)=x²+4
if we want f(g(x)), first plug in x to the g machine. when plugging in x to the g machine, we get x²+4 as given in the question.
Now we must plug in g(x) into the f machine. Since g(x) is x²+4, we just replace x with x²+4.
We get 3(x²+4)
This means that f(g(x))=3(x²+4)

NOTE: If you are seeking help with an actual question, please message me in the comments and I will assist you shortly!

I hope this helps!
Best wishes :)

7 0

3 years ago

Please help me, thanks.

bixtya [17]