can you show me step by step i really dont understand!
Let f(x)= -2x-1, h(x)= -x-1
Find (f◦h)(-3)
(that little dot isnt a multiplication dot but one of thos circle dots)
(f◦h)(-3)=
2006-10-05 07:31:11 · 8 answers · asked by Fries 4 in Science & Mathematics ➔ Mathematics
thanks so much to those that explained it!
2006-10-05 08:05:48 · update #1
Don't let composite functions scare you. The notation is trickier than the concept of plugging the result of one function into a second.
(f:h)(x) = f(h(x))
f(h(x)) = f(-x-1)
=-2(-x-1)-1
=2x+1
(f:h)(-3) = -5
Done stepwise,
h(-3) = -(-3)-1 = 2
plug 2 into f(x)
f(2) = -2(2)-1 = -5
2006-10-05 07:43:27 · answer #1 · answered by novangelis 7 · 0⤊ 0⤋
ok, two times the sum of two numbers is 4. we've 2 unknowns, we could call them "x" and "y" two times their sum = 4 so we are in a position to write 2(x+y) = 4 so all of us comprehend that x+y = 2 *** now all of us comprehend that the sum of their squares is fifty two so, x^2 + y^2 = fifty two @@@ nicely, from the *** equation, we are in a position to rearrange and discover that y = 2 - x so we could sub that equation into our @@@ equation we are going to get x^2 + (2-x)^2 = fifty two now strengthen x^2 + 4 - 4x + x^2 = fifty two convey mutually like words 2x^2 - 4x + 4 = fifty two convey each and every thing to a minimum of one ingredient, and use the quadratic formulation 2x^2 - 4x - 40 8 = 0 (4 +- sqrt(4 hundred) )/4 = a million +- 5 = 6, and -4 now, y = 2 - x so y could equivalent -4, or 6 so which you have 2 solutions for this: x = 6, y = -4, and x = -4, y = 6
2016-10-18 21:12:13 · answer #2 · answered by ? 4 · 0⤊ 0⤋
h(-3) = -(-3)-1 = 2, so f(h(-3)) = f(2) = -2(2)-1 = -5.
2006-10-05 07:35:57 · answer #3 · answered by James L 5 · 0⤊ 0⤋
56
2006-10-05 07:32:45 · answer #4 · answered by Anonymous · 0⤊ 0⤋
when you are looking for (f o h) (-3), first plug the -3 into the h(x) problem and take the answer you get and plug it into the f(x) probem.
h(x) = -x -1
h(-3) = -(-3) -1
h(-3) = 3 - 1
h(-3) = 2
f(x) = -2x-1
(f o h) (-3) = -2(2)-1
(f o h) (-3) = -4 - 1
(f o h) (-3) = -5
2006-10-05 07:38:42 · answer #5 · answered by Anonymous · 0⤊ 0⤋
You should try joining a math club at your college, that's what they're for to solve problems together
2006-10-05 07:38:30 · answer #6 · answered by babysweetvee 3 · 0⤊ 0⤋
Such a hard problem!!
You don't need that in RL!
2006-10-05 07:38:31 · answer #7 · answered by ~Peace~N~Love~ 3 · 0⤊ 0⤋
if the mind is confused consult your chi is what i do
2006-10-05 07:33:31 · answer #8 · answered by Anonymous · 0⤊ 0⤋