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3 years ago

F(x) = 4 - 2x – 2x3 g(x) = x² + 7x-9 Find f(x) + g(x).

Mathematics

1 answer:

Orlov [11]3 years ago

3 0

Answer:

-2x^3+x^2+5x-5

Step-by-step explanation:

f(x) = 4 - 2x – 2x^3

g(x) = x² + 7x-9

f(x) + g(x)=4 - 2x – 2x^3+ x² + 7x-9

Combine like terms

f(x) + g(x) = -2x^3+x^2+5x-5

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Eric wants to get an output of 0. Can he do this with each machine? If so, how? If not, why not?

natita [175]

Answer:

No, he can get an output of 0 with the second machine (function B) but he cannot get an output of 0 with the first machine (function A).

Explanation

The way each machine works is given by the expression (function) inside it.

1) Function A

To get an output of 0 with the function y = x² + 3, you must solve the equation x² + 3 = 0.

Since x² is zero or positive for any real number, x² + 3 will never be less than 3 (the minimum value of x² + 3 is 3). So, it is not possible to get an output of 0 with the first machine.

2) Function B

Solve $y=\sqrt{x}-2=0$

$\sqrt{x}-2=0$

$\sqrt{x} =2$

$x=2^{2}$

$x=4$

So, he can get an output of 0 by using x = 4.

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lesya692 [45]

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however if you wanted to really show the working out, it looks like this:

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subsitute one of the coordinates into y=mx+c

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c=-1

so then y=-1

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