Posted by **Brianna ** on Sunday, October 30, 2011 at 11:08pm.

Let h(x) = 3x + 4. For what value of x is (h o h)(x) = h(x). If no such value exists, type DNE in the space provided.

- ****college algebra**** -
**Steve**, Monday, October 31, 2011 at 4:00pm
You want h(h) = h. That is,

3h+4 = h

3(3x+4) + 4 = 3x+4

9x + 12 + 4 = 3x + 4

6x = -12

x = -2

h(-2) = 3(-2) + 4 = -2

Or, using h^{-1}, you could say, recalling that

h^{-1}(h(x)) = x

So, h^{-1}(h(h)) = h^{-1}(h)

h = x

3x+4 = x

2x = -4

x = -2

## Answer This Question

## Related Questions

- ****college algebra**** - Let g(x) = -2x + 8 and h(x) = 3x + 4. For what value ...
- $$college algebra$$ - Consider g(x) = -2x2 + 36x - 142 for x > 9. Find g-1(12...
- College Algebra - Let h(12) = -100 for some function h(x), defined everywhere. ...
- math - can someone correct this for me... solve: -4(2x - 3) = -8x + 5 my answer...
- college algebra - Find the local maximum and minimum values of the function and ...
- calculus - If f(x) is differentiable for the closed interval [-3, 2] such that ...
- Calculus - find the value of a, if it exists, such that the following function ...
- Calculus AB - If f(x) is differentiable for the closed interval [-3, 2] such ...
- Math (algebra) - Suppose a and b are positive integers satisfying 1≤a&#...
- college algebra - Let g(x) = 0.5x + 18. Write the rule for g-1(x). Then, ...

More Related Questions