Sunday

August 31, 2014

August 31, 2014

Posted by **Tim** on Saturday, March 29, 2008 at 4:41pm.

I know the answer is: f(x)=x+6, g(x)=5/x^2, but I do not know how to get it. Can someone help me understand it?

- Algebra -
**Anonymous**, Saturday, March 29, 2008 at 5:42pmFirst break it down

x=x+6 and x=5/x^2

x=-1 x=2.5

- Algebra -
**Damon**, Saturday, March 29, 2008 at 6:03pmYou did not state the question.

Is it

h of f of g of x = 5/x^2 + 6 ?

There is surely more than one answer you can find by trial and error. For example another might be:

try g(x) = 1/x^2

then f(x) = 5 x

then f (g) = 5 (1/x^2) = 5/x^2 which is what I want except I have to add 6

so say h(x) = x + 6

then h (f) = 5/x^2 + 6

so the sequence

g(x) = 1/x^2

f(x) = 5 x

h(x) =x + 6

also yields

h(x) = 5/x^2 + 6

- Algebra -
**TIm**, Saturday, March 29, 2008 at 6:07pmConsider the function h as defined. Find functions f and g so that

(f o g)(x)=h(x)

h(x)=5/x^2+6

- Algebra -
**Damon**, Saturday, March 29, 2008 at 6:32pmoh

then I would modify that answer:

There is surely more than one answer you can find by trial and error. For example another might be:

try g(x) = 1/x^2

then f(x) = 5 x + 6

then f (g) = 5 (1/x^2) +6 = 5/x^2 + 6

then h (f) = 5/x^2 + 6

so the sequence

g(x) = 1/x^2

f(x) = 5 x + 6

also yields

h(x) = 5/x^2 + 6

**Related Questions**

Algebra - Can someone check my algebra answers and help me with the problems I ...

algebra - Solve the following equation: k2 + 4k = 0 By factoring and By using ...

Maths algebra - Factorise the following: x^4 - x^3 - x^2 + x The answer is x(x+1...

Algebra - I am having such a hard time in this class. Hopefully someone here can...

algebra - In finding distance problems i understand the use of formula of d/rt ...

algebra - Could someone please explain to me how to do this problem, and also ...

Algebra - Can someone tell me if these problems have the right answers? I am ...

algebra - the equation is : - (2x + 3)-(4 + x). Using the distributive property...

8th Grade Algebra: Answer Check #2 - Add or Subtract (Radicals) { this means ...

Math / Linear Equations - I was looking on a website that teaches linear algebra...