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Schach [20]
4 years ago
6

Systems of equations I need help and show your work to

Mathematics
1 answer:
Nookie1986 [14]4 years ago
4 0
I started by using elimination to solve for x

3x + 9 = -3y              became            -2x - 2 = 0     
-5x - 11 = 3y   

then i soved for x

-2x = 2        x = 2/-2      x = -1

then i plug that back in for x and sove for y in one of the original equations

first equation
3(-1) + 9 = -3y     6 = -3y     6/-3 = y     y = -2

second equation
3y = -5(-1) - 11    3y = -6    y = -6/3      y = -2

therefore your answers are x = -1 and y = -2
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Let f(x)=(4x^2-11)^3 and g(x)=4x^2-11. given that f(x)=(h^o g)(x), find h(x).
lozanna [386]
So, f(x) is a composite function. This means that g(x) is inside of h(x); in other words, you would substitute g(x) for x in h(x).

Something happened to g(x) (in the form of h(x)) to turn it into f(x). You should notice that f(x) is simply g(x) raised to the third power.

Therefore, h(x) = x^3

You can check this by working it backwards.

Start with: h(x) = x^3
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Hope this helps!
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