How do you find the domain of: f(g)= 5x^2+4 f(g)= 3x; -2<x<6 f(g)= (1) / 3x-6...

How do you find the domain of:

f(g)= 5x^2+4

f(g)= 3x; -2<x<6

f(g)= (1) / 3x-6

f(g)= (x+2) / x^2-1

f(g)= x^4 / x^2+x-6

f(g)= sqrt (x+1)

f(g)= sqrt (x^2+9)

Expert Solution

milcah answered 1 year ago

Suppose f is defined by f(x)=3x/(4+x^2), −1≤x<3. What is the domain of f? Find the intervals...

Suppose f is defined by f(x)=3x/(4+x^2), −1≤x<3. What is the domain of f? Find the intervals where f is positive and where f is negative. Does f have any horizontal or vertical asymptotes. If so, find them, and show your supporting calculations. If not, briefly explain why not. Compute f′ and use it to determine the intervals where f is increasing and the intervals where f is decreasing. Find the coordinates of the local extrema of f Make a rough...

if f(x) = -5x^2 sin(5x) and g(x) = x^2 -3x +9 are defined over the interval...

if f(x) = -5x^2 sin(5x) and g(x) = x^2 -3x +9 are defined over the interval (2,4) write the full MATLAB commands to plot the two functions above two functions on the same set of axes 2 find the x and y coordinate of all points of intersections (x,y) that you can clearly see between the two graphs. Round up to 4 decimal

Let f(x) = 5x+3 and g(x) =2x-5. Find (f+g)(x),(f-g)(x),(fg)(x), and (f/g) (x). Give the domain of...

Let f(x) = 5x+3 and g(x) =2x-5. Find (f+g)(x),(f-g)(x),(fg)(x), and (f/g) (x). Give the domain of each. (f+g) (x) = (f-g)(x) = (fg)(x) = (f/g)(x) = The domain of f+g is_ The domain of f-g is_ The domain of fg is _ The domain of f/g is _ Please at the end provide showed work.

The function f(x)=3x+2 is one-to-one a) find the inverse of f b) State the domain and...

The function f(x)=3x+2 is one-to-one a) find the inverse of f b) State the domain and range of f c) State the domain and range of f-1 d) Graph f,f-1, and y=x on the same set of axes

if f(x)=5x(x+4)^3 , find f'(x) and f"(x)

Let F(x)=f(f(x)) and G(x)=(F(x))^2 . You also know that f(6)=14,f(14)=3,f′(14)=4,f′(6)=3. Find F′(6)= and G′(6)= .

find the intervals where g(x)=-3x(5x+2)7 is increasing and where it is decreasing.

Let f(x) = x / (4−x^2) . (a) Find the domain and intercepts of f(x). (b)...

Let f(x) = x / (4−x^2) . (a) Find the domain and intercepts of f(x). (b) Find all asymptotes and limits describing the end behavior of f(x). (c) Find all local extrema and the intervals on which f(x) is increasing or decreasing. (d) Find the inflection points and the concavity of f(x). (e) Use this information to sketch the graph of f(x)

Find the domain of the function g(x) = square root of 3x+3

Using MATLAB, Consider the polynomial f(x) = 3x^3 + 5x^2 − 58x − 40. Find the...

Using MATLAB, Consider the polynomial f(x) = 3x^3 + 5x^2 − 58x − 40. Find the three roots of the polynomial, i.e, x where f(x) = 0, using: (i) Bisection method, and (ii) Newton’s method. Report the number of iterations taken by each algorithm using a tolerance of 10^−8 .

Question