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.

Expert Solution

milcah answered 1 year ago

5. Consider the function f(x) = -x^3 + 2x^2 + 2. (a) Find the domain of...

5. Consider the function f(x) = -x^3 + 2x^2 + 2. (a) Find the domain of the function and all its x and y intercepts. (b) Is the function even or odd or neither? (c) Find the critical points, all local extreme values of f, and the intervals on which f is increasing or decreasing. (d) Find the intervals where f is concave up or concave down and all inflection points. (e) Use the information you have found to sketch...

let f(x)=(x^2 + 2x) / (x - 1)^2 a) Find the domain and if any intercepts...

let f(x)=(x^2 + 2x) / (x - 1)^2 a) Find the domain and if any intercepts b)find the horizontal asymptotes c) find the vertical asymptotes d)find the intervals on which the function is increasing and decreasing and identify the function's local extreme values, critical values e)identify the concavity and if any the point of inflection f) graph the function

2. Let f(x)=2x^2−4x+7/5x^2+5x−9, evaluate f '(x) at x=3 rounded to 2 decimal places. f '(3)= 3....

2. Let f(x)=2x^2−4x+7/5x^2+5x−9, evaluate f '(x) at x=3 rounded to 2 decimal places. f '(3)= 3. Let f(x)=(x^3+4x+2)(160−5x) find f ′(x). f '(x)= 4. Find the derivative of the function f(x)=√x−5/x^4 f '(x)= 5. Find the derivative of the function f(x)=2x−5/3x−3 f '(x)= 6. Find the derivative of the function g(x)=(x^4−5x^2+5x+4)(x^3−4x^2−1). You do not have to simplify your answer. g '(x)= 7. Let f(x)=(−x^2+x+3)^5 a. Find the derivative. f '(x)= b. Find f '(3)= 8. Let f(x)=(x^2−x+4)^3 a. Find the...

If f(x)=2x^2−5x+3, find f'(−4). Use this to find the equation of the tangent line to the...

If f(x)=2x^2−5x+3, find f'(−4). Use this to find the equation of the tangent line to the parabola y=2x^2−5x+3 at the point (−4,55). The equation of this tangent line can be written in the form y=mx+b where m is: ???? and where b is: ????

Let f(x) = 5x^(1/3) - x^(5/3) Find the intervals of concavity and the inflections point(s). Graph...

Let f(x) = 5x^(1/3) - x^(5/3) Find the intervals of concavity and the inflections point(s). Graph the function.

Let f(x) = (x − 1)2, g(x) = e−2x, and h(x) = 1 + ln(1 − 2x). (a) Find the linearizations of f, g, and h at a =...

Let f(x) = (x − 1)2, g(x) = e−2x, and h(x) = 1 + ln(1 − 2x). (a) Find the linearizations of f, g, and h at a = 0. Lf (x) = Lg(x) = Lh(x) = (b) Graph f, g, and h and their linear approximations. For which function is the linear approximation best? For which is it worst? Explain. The linear approximation appears to be the best for the function ? f g h since it is closer to ? f g h for a larger domain than it is to - Select - f and g g and h f and h . The approximation looks worst for ? f g h since ? f g h moves away from L faster...

For the following exercises, graph the transformation of f(x) = 2x. Give the horizontal asymptote, the domain, and the range. h(x) = 2x + 3

For the following exercises, graph the transformation of f(x) = 2x. Give the horizontal asymptote, the domain, and the range.h(x) = 2x + 3

Let f(x) = 2x3 - 15x2 + 24x - 5. Find the following: a) The domain...

Let f(x) = 2x3 - 15x2 + 24x - 5. Find the following: a) The domain of f Answer can be an interval or in words b) The y-intercept Answer must be a point c) f '(x) d) The critical numbers, if any. e) The open interval(s) where the function is increasing and the open interval(s) where the function is decreasing. The answer to this question will be accepted in one of two ways: 1) Show the number line with...

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

Let f(x) = -2x3 - 9x2 - 12x + 3. Find the following: a) The domain...

Let f(x) = -2x3 - 9x2 - 12x + 3. Find the following: a) The domain of f Answer can be an interval or in words b) The y-intercept Answer must be a point c) f '(x) d) The critical numbers, if any. e) The open interval(s) where the function is increasing and the open interval(s) where the function is decreasing. The answer to this question will be accepted in one of two ways: 1) Show the number line with...

Question