SOLUTION: given f(x)=sqrt x+3 and g(x)=6x find f(g(x)) i.e.(fog)(x) and find (fog)(1) I know that you need to replace the x in sqrt of x +3 so it would read sqrt 6x+3 then would I chan

Question 224515: given f(x)=sqrt x+3 and g(x)=6x find f(g(x)) i.e.(fog)(x) and find (fog)(1)
I know that you need to replace the x in sqrt of x +3 so it would read sqrt 6x+3
then would I change that to (6x+3)^2 =36x^2+36x+9.
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
Your first part is correct. f(g(x)) means to substitute g(x) = 6x into the formula for f, so . However, what you did next was NOT correct. You have a SQUARE ROOT, NOT a SQUARE! Do NOT square it!!!

f(g(1)) means to substitute 1 in place of the x.

This would be

f(g(1)) = 3

R^2
RELATED QUESTIONS
Given f(x) x^2+5, and g(x)=sqrt x-3, find... (answered by Nate)

Let f(x)=√(x+3 (sqrt(x+3) )and g (x)=x^2 )-1.Find fog and... (answered by Fombitz)

Find (fog)(x)and(gof)(x) and the domain of each: f(x)=sqrt(x),... (answered by stanbon)

If f(x)=3x^2+1 and g(x)=2x+2, then (fog^-1)(2) = ...I don't understand how to find... (answered by vleith)

given f(x)= x/2-x and g(x)=3/x how do find... (answered by jim_thompson5910)

. Determine fog and gof given that i. F(x)=3x-4 g(x)=x^3 (answered by Tatiana_Stebko)

For the given functions, find (fog)(x) and (gof)(x) and the domain of each. f(x)=... (answered by Boreal)

Given that f(x)= ^(x^2-9) and g(x)-2x+11 find... (answered by stanbon)

Hello, can someone please help me..I cannot wrap my head around this problem. if... (answered by stanbon)