Question

The number of zeros of a combined function y=f(x)g(x) can be obtained by ______ the number...

The number of zeros of a combined function y=f(x)g(x) can be obtained by ______ the number of zeros of the original functions, assuming they have no common zeros.

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

we know that the polynomial f(x) has n zeros if the degree of polynomial is n and the degree of polynomial obtained by multiplication of function is addition of degree of both.

by using above i was solved this problem

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Let X, Y and Z be sets. Let f : X → Y and g :...
Let X, Y and Z be sets. Let f : X → Y and g : Y → Z functions. (a) (3 Pts.) Show that if g ◦ f is an injective function, then f is an injective function. (b) (2 Pts.) Find examples of sets X, Y and Z and functions f : X → Y and g : Y → Z such that g ◦ f is injective but g is not injective. (c) (3 Pts.) Show that...
If 0≤f(x)≤g(x) for x in the interval [a, b],can the surface obtained by rotating the graph...
If 0≤f(x)≤g(x) for x in the interval [a, b],can the surface obtained by rotating the graph of y=g(x) around the x-axis over the interval have less surface area than the surface obtained by rotating the graph of y=f(x) around the x-axis over the same interval? I have heard yes and also no so I would like some clarification. Thanks
X，Y be sets and f:X-＞Y is a function there's a function g:Y-＞X such that g(f(x))＝x for...
X，Y be sets and f:X-＞Y is a function there's a function g:Y-＞X such that g(f(x))＝x for all x∈X Prove or disprove: f is a bijection   
1.Determine all the zeros and their multiplicities of the polynomial function f(x) = x 5 −...
1.Determine all the zeros and their multiplicities of the polynomial function f(x) = x 5 − 6x 3 + 4x 2 + 8x − 16 2. Find all the zeros of the function f(x) = x 5 − 4x 4 + x 3 − 4x 2 − 12x + 48 given that −2i and 4 are some of the zeros.
What can be said about the domain of the function f o g where f(y) =...
What can be said about the domain of the function f o g where f(y) = 4/(y-2) and g(x) = 5/(3X-1)? Express it in terms of a union of intervals of real numbers. Go to demos and obtain the graph of f, g and f o g. Find the inverse of the function f(x) = 4 + sqrt(x-2). State the domain and range of both the function and the inverse function in terms of intervals of real numbers. Go to...
Given that f(x) is a cubic function with zeros at −7 and −4i−1 , find an...
Given that f(x) is a cubic function with zeros at −7 and −4i−1 , find an equation for f(x) given that ?(1)=8.
Let f(x) = 2x2 + nx – 6 and g(x) = mx2 + 2x – 4....
Let f(x) = 2x2 + nx – 6 and g(x) = mx2 + 2x – 4. The functions are combined to form the new functions h(x) = f(x) – g(x). Points (2, 4) and (-3, 17) satisfy the new function. Determine the values of m and n
Minimize f (x, y) = x2 + y2 subject to the constraint function g (x, y)...
Minimize f (x, y) = x2 + y2 subject to the constraint function g (x, y) = x2y−16 = 0
7. Suppose that random variables X and Y have a joint density function given by: f(x,...
7. Suppose that random variables X and Y have a joint density function given by: f(x, y) = ? + ? 0 ≤ ?≤ 1, 0 ≤ ? ≤ 1 (a) Find the density functions of X and Y, f(x) and f(y). (b) Find E[X] and Var(Y).
Prove that gradients of functions f(x, y) = 1/2 log(x^2+y^2) and g(x, y) = arctan(x) are...
Prove that gradients of functions f(x, y) = 1/2 log(x^2+y^2) and g(x, y) = arctan(x) are orthogonal and have the same magnitude at any point different from origin.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT