Suppose that the functions fand g are defined for all real numbers x as follows. f6)-42 3. g(x)=x %3D Write the expressions for (g-f)x) and (g-f)(x) and evaluate (g+f)(-2).

Q: Let h(æ) = f(x)+ g(x). If f(x) = 7x³ and g(æ) = 9x4, what is h' (æ)? Do not include "h' (7) =" in…

A:

Q: (2) For the f(x) = -x3 + 3x + 6 determine the coordinates of the turning point(s) and any point(s)…

A:

Q: Let f (x) = x2 - 3 and g(x) = 2x + 1. Find (fg)(2). 2) ***HINT: Start by first finding f (2) and…

A: The given functions are,

Q: Let h(x) = f(x)g(x). If f(x) = -3x²+2x 3 and g(x) 3x" + 4x + 3, what is h' (1)? Do not include "h'…

A:

Q: Suppose that the function f is defined, for all real numbers, as follows. 7x-1 if x 2 f(x)=- -2 if…

A: Consider a function f defined for all real values, such that: fx=34x-1if x≠2-2if x=2

Q: Suppose that the functions f and g are defined for all real numbers x as follows. f(x) =x+3 g (x) =…

A:

Q: Suppose that the functions f and g are defined for all real numbers x as follows. f(x) = x-4 g (x) =…

A: The composite functions are a part of calculus. It is an operation that takes two functions f and g…

Q: Let h(x)=f(x)+g(x). If f(x)=6x and g(x)=3x2, what is h′(−1)?Do not include "h′(−1)=" in your answer.…

A: we have to find derivarive of h(x) at x=-1

Q: 3. Determine the function f (x) for which f' (x) r3 II

A:

Q: Let h(x)=f(x)g(x). If f(x)=−3x2−4x+2 and g(x)=−x2+3x+2, what is h′(−1)? Do not include "h′(−1)=" in…

A: Calculation of h (x):Using the functions f (x) and g (x), the function h (x) can be obtained as…

Q: Suppose that the functions g and h are defined for all real numbers x as follows. g (x) = x-3 h (x)…

A: The objective is to find  (h-g) (x),  (h+g) (x), (h.g) (-3)

Q: Suppose that the functions f and g are defined for all real numbers x as follows. f(x)=x-3…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Let h(x)=f(x)+g(x). If f(x)=3x2 and g(x)=4x, what is h′(5)?Do not include "h′(5)=" in your answer.…

A: we will find derivative h\'(5)for this we will use power rule at x=5

Q: Let f(x) =4×^2-12x+8 what are the zeros and extreme values of f(x)

A: We are given the function fx =4x2-12x+8 . Zeros of the function can be found by the following.…

Q: 2. What is the degree of the function g(x)=-2x(2x-1)(x² + 1)²?

A: The given function is; g(x)=-2x(2x-1)(x2+1)2.

Q: The domain of the function f(x)= 50/6x-23 is all real numbers x except for for where x equals?

A: Given

Q: 2. Let f(x)=x²-5x. Find the difference quotient for f(-2+h)-f(-2) h

A:

Q: The function f (x) = 2x² + 6x – 12 has a domain of all the whole numbers in which -2 sxs 1. List the…

A: Given,          The function fx=2x2+6x-12 has a domain of all whole numbers in which -2≤x≤1.

Q: Let h(x)=f(x)+g(x). If f(x)=2x2 and g(x)=8x5, what is h′(x)? Do not include "h′(x)=" in your answer.…

A: We have been given h(x) = f(x)+g(x) and f(x) = 2x^2 and g(x) = 8x^5So we can first write a function…

Q: Let h(x) = f(x) + g(x). If f(x) = 2x² and g(x) = 8x5, what is h'(x)? Do not include "h' (x) =" in…

A:

Q: The graph of f (x)3-x²-5x+6 has the point (2, -6) on it. O True O False

A: Given statement  The graph of f(x)=-x^2-5x+6 has the point (2,-6) on it

Q: Given that f(x) =x^2 -2 and g(x)=6x+3 find (f-g) (-2) if it exists

A: Consider the given equations

Q: 20.) Find function the Ceroes algebraically. of the f(x) = x² - 6x +8 4x X = ?

A:

Q: The graph of f(x)3-x-5x+6 has the point (-8, 2) on it. O True O False

A:

Q: 1) Which set of values for x should be tested to determine the possible zeros of the function f (x)…

A: We need to find possible x values that needs to be checked where function is zero.   NOTE - As per…

Q: The graph of f(x) = -x² - 5x+6 has the point (-8, 2) on it. O True O False

A: The function is given by fx = -x2-5x+6                                .........1 The point is  x, fx…

Q: Suppose that the functions g and h are defined for all real numbers x as follows. g (x) = 4x-2 h (x)…

A: Given: Given functions are gx=4x-2 and hx=6x We want to write expression for g-hx,g+hx and  evaluate…

Q: 7. If f(x)=4x-3 and h(x) = 4x² -21, find a function g such that fog=h

A: The given functions are: fx=4x-3 and hx=4x2-21

Q: 14. For the function f(x)=ax+bx²-5x+9, determine the values of a and b so that 5(-1)=12 and f'(-1)=3…

A: Explanation of the answer is as follows

Q: Let h(x)=f(x)g(x). If f(x)=x2+4x−1,g(−2)=3, and g′(−2)=−5, what is h′(−2)? Do not include "h′(−2)="…

A: We have to find

Q: The function f is defined by f (x) = –x² – 3 for all real numbers x. Which of the following…

A:

Q: Let h(x)=f(x)g(x) where f(x)=2x2−4x, g(−2)=4, and g′(−2)=−5 what is h′(−2)? Do not include…

A:

Q: 2. Evaluate the function f (x) = x² - 3x + 12 at the following values or (a) f(-5) expressions. (b)…

A:

Q: Let h(x) = f(x) +g(x). If f(x) = 2x2 and g(x) = 8x, what is h' (x)? Do not include "h' (x) =" in…

A: Given   h(x) = f(x) +g(x)f(x) = 2x2g(x) = 8x5So,h(x) = 2x2+8x5Now, h'(x) = d h(x)dxh'(x) = d…

Q: Suppose that the functions f and g are defined for all real numbers x as follows. f()=3x+3 g (x) =…

A:

Q: Let h(x)=f(x)+g(x). If f(x)=x4 and g(x)=6x3, what is h′(−3)?Do not include "h′(−3)=" in your answer.…

A: The problem concerns addition law for derivatives of functions:

Q: Suppose that the function g is defined, for all real numbers, as follows- 4 if x<-2 g (x) = {…

A:

Q: Find f such that f'(x)= 1(4)= 20.

A:

Q: Suppose that the function g is defined, for all real numbers, as follows. 1 if x 2 Find g (0), g…

A: We have to find: g0g2g5 Where function g is defines as: gx=12x-1   if x&lt;-2x+12-3   if -2≤x≤23…

Q: Suppose that the functions g and h are defined for all real numbers x as follows. 8 (x) =x? h (x)…

A:

Q: Suppose f(x) has a zero at an x-value of 3. What would a zero of g(x) be if g(x) = -2f(3x + 1)? %3D

A: Given that f(x) has a zero at x = 3, it means f(3) = 0To find the zero of g(x), where g(x) = -2f(3x…

Q: Suppose that the functions g and h are defined for all real numbers x as follows. g (x) =x? h (x) =…

A:

Q: Let h(x)=f(x)−g(x). If f(x)=9x2 and g(x)=8x, what is h′(−5)?Do not include "h′(−5)=" in your answer.…

A: We have been given two functions f(x) = 9x^2 and g(x) = 8x and a relationship between functions h(x)…

Q: 50 The domain of the function f(x) is all real 12x – 22 numbers except for

A: (1) The domain of the rational polynomial is always all real numbers except such where its…

Q: If f(x) = g(x) ·x2, g(4) = 8, and g' (4) = 2, then f'(4) =? %3D

A: Differentiation: - Differentiation is defined as the derivative of a function with respect to an…

Q: 5a.

A:

Q: Given the functions f(x) = Vx² –- 1 and g(x) = V25 – x², what is the domain of f – g within the set…

A: Given fx=x2-1gx=25-x2

Q: Suppose that the functions fand g are defined for all real numbers x as follows. f(x) =x-6 g(x)=…

A: We know that (i) (f - g)(x) = f(x) - g(x) (ii) (f + g) (x) = f(x) + g(x) (iii) (f.g)(x) = f(x) .…

Q: 8. A student writes the following for the function f(x) 2 x¯- 8x+8 “ The domain of f(x) is (-∞, -4)…

A: Consider the given function as fx=x-2x2-8x+8

Q: Let f(x) = x2 + 3 and g(x) =  x x2 − 9 . (a) Is 3 in the domain of f ∘ g? YesNo     (b) Is…

A: Given: