Algebra 2 Needs all work

label Algebra
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if f(x)=2x+9 and g(x)=3x+b , what value of b would make [f of g](x)=[g of f](x) ? Show all work

Mar 23rd, 2015

 [f of g](x)=[g of f](x)
f(g(x)) = g(f(x))
2(3x+b) +9 = 3(2x+9) +b
6x + 2b + 9 =6x +27 +b
2b -b = 27 -9 
b = 18


let me know if you need more help. 


Mar 23rd, 2015

Could you help me out with this question too?
Explain the statement given. You may include a diagram to support your explanation.
"If the y-intercept of a linear function f(x) is 3, then 3 is a "zero" of f^-1(x)"

Mar 23rd, 2015

I am not sure about this one....

Mar 23rd, 2015

the linear equation of a straight line is y=mx+c...where c is the y intercept given as 3

Mar 23rd, 2015

i dont know abt this part "then 3 is a "zero" of f^-1(x)"

Mar 23rd, 2015

maybe this one instead? I'm sorry for asking so many, I'm desperate and this is my last chance to pass this class.

p[c[c(-3)]]

where p(x)=squareroot(3x-8)
and c(x)=x^2-5

Mar 23rd, 2015

c(-3) = (-3)^2 -5 = 9-5 =4
c(c(-3)) = (4)^2 -5 = 16 -5 = 11
p(c(c(-3))) = sqrt(3*11-8) = sqrt (33-8) = sqrt(25) =5

5 is the answer.


If you have more question I would suggest you to put it as new question, will help you where ever I can.

Mar 23rd, 2015

There's a glitch on my computer. It's not allowing me to ask anymore free questions. I've only asked 1 so far and the website told me I would be able to ask 3.

Mar 23rd, 2015

yeah its not with your computer its with the website I guess. Other students were also mentioning it.
Check with customer services if they can help. Or try creating a new account :)

Mar 23rd, 2015

This is my second account already, haha :) I sent out a message to customer service, they said they will work on it soon. I hope it gets done before tomorrow, I need this worksheet completed correctly.

Mar 23rd, 2015

oh I see...hope they fix it


Mar 23rd, 2015

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