Given the following functions f(x) and g(x), solve (f ⋅ g)(2) and select the correct answer below: (1 point) f(x) = 2x2 − 10 g(x) = x + 9 A −22 B 22 C −66 D 66 2. Given the following functions f(x) and g(x), solve f over g (−4) and select the correct answer below: (1 point) f(x) = 4x − 4 g(x) = x − 1 A −20 B −4 C 4 D one fourth
First off, is f(x) = 2x2 − 10 written as \[2^{2} - 10\]
Oops
I understood the last one @Maddy1251 but this is worded different
Yes it is
\[2x^{2} - 10\]
Okay
Yes thats correct
The one you just posted
f(x) = 2x2 − 10 g(x) = x + 9 Now you know with how the last ones, we added them together?
Yes, so is it 2x2-10+x+9?
No. But when it said (f+g), we added them together. This time it says ( f x g) we we will multiply them together! Can you do that for me?
f(x) = 2x2 − 10 g(x) = x + 9 We multiply these two together
2x2-10x+9?
Well, f(x) = 2x^{2} - 10
(2x^2 -10)(x+9) Foil them for me. First, out, inner, last
Right
To confirm: here we are MULTIPLYING f and g. You both seem to recognize that. Please show all steps of your multiplication.
if fx Is (2x)2 that would be the answer
(f * x)(x)= ( )( )
Yes what mathmale is getting as. If you put them into FOIL method you can then multiply all terms, then do whatever configuring you need to do.
f(x) = 2x2 − 10 g(x) = x + 9 so ; (2x^2-10)(x+9)
Okay that makes sense. So the answer is -22, or is there further steps?
Oh, I get it now. I forgot the parenthesis.
Did you multiply the two functions together?
I wanted to see what you got when you multiplied them together.
Let me do it real fast. Just a sec
Take your time. There is no rush
(2x^2-10)(x+9) 3x^2-19
The work shared in your image is well done, and your answer (-22) is correct. whose work was that?
@mathmale had to have been hers. I will still on the step with her on multiplying them. :P
OK. Good job (both of you).
Much thanks @mathmale , I have learned from watching the ones like you guys.
Can you help me with the second question, i posted on this question?
Yes! Let me go up and grab the equations
Okay I think I got the start of it right. I got
Given the following functions f(x) and g(x), solve f over g (−4) and select the correct answer below: (1 point) f(x) = 4x − 4 g(x) = x − 1 4x-4/x-1
Do they mean fractions, or dividing?
4x-4/x-1
Division
Okay! So 4x-4 divided by x-1
Would I divide 4x/x? So would it be 4x?
Then -4 because 4/-1?
Erm. Not quite. Hold on :)
Ok
|dw:1458957777304:dw| f(x) = 4x − 4 g(x) = x − 1
|dw:1458957810403:dw|
Correct
So it is 4
Okay, then what about the last part
Hmmm when it equals -4? If I remember that being correct
Yes
So the first part is 4x right?
I wonder if they mean Given the following functions f(x) and g(x), solve f over g (−4) and select the correct answer below: (1 point) f(x) = 4x − 4 g(x) = x − 1 4x-4 / x - 1 x= -4 4(-4)-4 / (-4) - 1 Is this what you were trying to get at from the beginning?
-16 - 4 / -5
Yes.
-20 / -5
So 4 is the answer?
-20 / - 5 = 4 huh well see when I divided the two, I got 4. So I had the answer from just dividing them like regular numbers, or you could do synthetical division but I didn't know if you knew how to do that.. Or, put them in fractional terms and substitute "-4" for x.
Yep, that's the answer. Do you understand how to get the answer?
Yes, I got it. Thanks so much for your help :)
Not a problemo :)
As long as you understand everything I am happy
the answer is 4 even without replacing x by taking 4 as a common factor it will be 4(x-1)/x-1......x-1/x-1=1. so 4x1=4
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