Destinyyyy
  • Destinyyyy
For f(x)=3x and g(x)=x+6, find the following functions. A. (f*g)(x) B. (g*f)(x) C. (f*g)(2) D. (g*f)(2)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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Destinyyyy
  • Destinyyyy
For A. I got 3x+18 For B. I got 3x+6 I'm stuck on C.
james1769
  • james1769
6+12
Destinyyyy
  • Destinyyyy
I assume that's the answer for C.. I want to know how to solve it.

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Destinyyyy
  • Destinyyyy
@Nnesha
james1769
  • james1769
the same way u solved for the others
Destinyyyy
  • Destinyyyy
If I solve it the same way I did the other two I get stuck at 3(g(2))
james1769
  • james1769
oh
Nnesha
  • Nnesha
substitute x for g(2) into f(x) function
Destinyyyy
  • Destinyyyy
So 3(g(x)) ?
Nnesha
  • Nnesha
btw A is wrong
Destinyyyy
  • Destinyyyy
How is it wrong? I followed the example.
Nnesha
  • Nnesha
when we multiply same bases we should `ADD` their exponents so 3x times x =?
Destinyyyy
  • Destinyyyy
This is my first time doing this type of problem so I dont really know what im doing.
Nnesha
  • Nnesha
x is same as x to the one power apply the rule when we multiply same bases we should `add` exponents \[\huge\rm x^m \times x^n=x^{m+n}\]
Destinyyyy
  • Destinyyyy
Where are you getting a second x from?
Nnesha
  • Nnesha
we should multiply g(x) by f(x)
Destinyyyy
  • Destinyyyy
My example told me to do this- (f*g)(x)= f(g(x))= 3(g(x))= 3(x+6)= 3x+18 It doesn't have x^2
Nnesha
  • Nnesha
well (f*g)(x) means f(x) times g(x)
Nnesha
  • Nnesha
where did you get that example ?
Destinyyyy
  • Destinyyyy
My examples says (f*g)(x) means f(g(x)). My online class on Pearson. Its a system example.
Nnesha
  • Nnesha
f(g(x)) composition means (f o g)(x) where you should substitute x for g(x) into f(x) function
Destinyyyy
  • Destinyyyy
Yeah.
Nnesha
  • Nnesha
so (f *g)(x) means f(x) times g(x) ^^^product of two function
Destinyyyy
  • Destinyyyy
I entered my answer for the assignment and it says its correct.
Nnesha
  • Nnesha
what do you mean by `*` sign is it multiplication ?
Destinyyyy
  • Destinyyyy
My examples for C does this- f(x)=3x g(x)=x+7 (f*g)(5), find the value of (f*g)(x) when x=5. (f*g)(x)= 3x+21 (f*g)(5)= 3(5)+21 36
Destinyyyy
  • Destinyyyy
Yes * means multiply
Nnesha
  • Nnesha
looks at this http://home.windstream.net/okrebs/page42.html (f*g)(x) means f(x) times g(x)
Destinyyyy
  • Destinyyyy
For that example above its not clear where the 21 comes from.
Nnesha
  • Nnesha
x+6 or x+7 ? g(x)^^
Destinyyyy
  • Destinyyyy
x+7 is the example from the system. x+6 is the problem im working on. And the link you posted- I worked on that 2 problems ago.
Nnesha
  • Nnesha
well in that example the replaced x from with x+7 in f(x) function \[\large\rm f(x)=3\color{Red}{x} ~~~g(x) ~~~\large\rm f(x+7)=3(\color{ReD}{x+7})\]=\color{Red}{x+7}\]
Nnesha
  • Nnesha
so when you distribute parentheses by 3 you will get 3x +21 3 times 7 = 21
Destinyyyy
  • Destinyyyy
Okay. I thought it was that but wasn't sure. So the answer for C is 33.
Destinyyyy
  • Destinyyyy
Sorry 24..
Nnesha
  • Nnesha
yes 24 is correct according to that example
Destinyyyy
  • Destinyyyy
And the answer for D. is 13
Destinyyyy
  • Destinyyyy
Sorry 12.
Nnesha
  • Nnesha
yes right
Destinyyyy
  • Destinyyyy
Okay. Thank you.
Nnesha
  • Nnesha
yw

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