32. Given the function g(x) = 5 – x², evaluate g(x+h)-g(x) h + 0. - h

Q: Let h(x)=f(x)−g(x). If f′(−2)=−8 and g′(−2)=1, what is h′(−2)?

A:

Q: 4. If [æf (x) + 2] dæ = x³ – a² then find the function f (x). 3 A) 2 3 B) 2+ C) 3- 2 E) 2– D) 3+ --…

A: The given equation is x∫x fx+2dx=x3-x2.

Q: 2. If f(x) = e*+ °, what is f"(x) ? x'+ 5

A: Given that f(x)=ex2+5 find out f11x

Q: The function f(x) = 2x? – 332? + 144x – 10 has two critical numbers. The smaller one is æ = and the…

A: Please refer the attached image for complete solution.

Q: Consider the functions :  f(x)=√x and g(x)=x-1 Solve for- (f°g) (x)

A: Given:

Q: For æ = 4 the function f(x) = x? + bx +c has the minimum value of -9. Fine

A: The given function is f(x)=x2+bx+c has a minimum value = -9 at x = 4.

Q: Let h(x)=f(x)−g(x). If f(x)=9x^2 and g(x)=8x, what is h′(−5)?

A:

Q: Let H (x) = f (x)h(x). What is the value of H'(4)?

A:

Q: 13 Given that f(x)= 2x+1 and h(x)=x, find (h o f)(3).

A:

Q: 22 If Sx) is an odd function, the second difference [SSAx) – 2(0) +-Ax)]/(Ax)? exactly equals f"(0)…

A: Please check step 2 for the solution.

Q: Find the critical values of the function below. **x-24x? 8 -x³–24x² f(x)

A:

Q: Suppose g'(x)=sec^2(x) and g(0) = 0. What is g(x)?

A:

Q: Consider the functions f(x) = x² – 5x + 4, g(x) = x² + 5x + 6 and h(x) = x² + x f(x) g((x) 3 h(x) a)…

A: We can solve this using definition of function

Q: Зах + 3 for x -2

A:

Q: If g(x) = max {x, 1/x} what is g(x) when x ϵ N2 (.5)?

A:

Q: Let f(x)=3x^2+7x-4 and g(x)=9x^2-5x+1. Which equation shows h(x), where h (x)= f(x)-g(x)?

A:

Q: 2. What is the domain of the function f(x) Vx + 4

A: we have to find the domain of the function. f(x)=x-2x+4

Q: 2. If f(x) = 1 + x², find fof 3.lf f(x) = -x, g(x) = 2x + 1 and h(x) = x², find fogoh,

A:

Q: If f (x) = z2-3z+2 and g (r) = x- - 2, what is f (x) g (x)? - 2, what is f (r) g (x)? I+1 O (z – 2)°…

A:

Q: 18. Suppose that a company produces and sells bicycles and that the start-up cost is $3000 and $75…

A:

Q: If f(x) = x° and g(x) = 0.5f(x), what is the value of g(x) at x = 2? %3D

A:

Q: 10. For f(x) = -x² +5, find f(a+h)– f(a) if h+0.

A:

Q: 10. Which is correct for the function f(x) = 2|x + 3| – 2? A. maximum (-3,-2) B. minimum (-3,-2) C.…

A:

Q: Let h(x)=f(x)+g(x). If f(x)=6x and g(x)=3x^2, what is h′(−1)?

A:

Q: What are the critical points for the function f(x) = x³ + 6x² – 36x + 7. %3D

A:

Q: 4. Given f(x) = v3 – e2, find the domain of f and f-1.

A:

Q: What is the average rate of change between x = 4 and x = 7 for the function g defined below? 3 g(x)…

A:

Q: let h(x) = f(x)/g(x), where f(x) = -3x^2 + 2x + 2 and g(x) = -2, what is h'(x)?

A: Given  hx=fxgxwherefx=-3x2+2x+2gx=-2 To find the derivative of h(x) Quotient rule is to be used…

Q: The function f(x) =is 1-z2 Is 9+z2

A:

Q: If f (z) Va. What is f' (x) ? 3z 3 - + c

A:

Q: 19) If f(x) = 3x + 1 and g(x) = 5 – x°, find g(f(x)).

A: Given:

Q: dont understand the fourth and fifth row of equation of gh(x) and why the function is invalid?

A: Solution

Q: (e2* ) In(3x+2) Vx' - x -1 Determine f '(x) if f(x)= DO NOT SIMPLIFY!

A:

Q: 10. Given the functions /(x) = 3x² + 2x + x+1 and g(x) = 2x² – 1, find (f - 9)x. a 3x +x b. 3x +x+2…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: True or False The graph of the function f(x) = x2 is increasing on the interval [0, ∞ ].

A: The statement: The graph of the function f(x) = x2 is increasing on the interval [0, ∞ ].

Q: Let h(x)=f(x)g(x). If f(x)=−3x2+2x−3 and g(x)=−3x2+4x+3, what is h′(1)?

A: Given:h(x)-f(x)g(x)f(x)=-3x2+2x-3g(x)=-3x2+4x+3

Q: 31. f(x) g(x) =

A:

Q: Q.20 For the function f(x) = x2 ex, the maximum occurs when x is equal to

A: Introduction :

Q: What is the value of In[f'(2)]if f (x) = e*?

A: Our Aim is to tell the value of ln f'(2) if f(x)=ex-(i)

Q: 4. a) Find the value of x where the function f(x) = (x – 4)3 is not differentiable.

A: According to power rule of differentiation , .

Q: f(x) = x* – }x' – x + 2x –1 -

A: Given   f(x)= 14x4-23x3-12x2+2x-1has turning point at where the f'(x)=0differntiate f(x) with…

Q: Find the following characteristics about the linear function 2 f(x) = ²/x + 18 x-intercept:…

A:

Q: 7. Find f'(x) for the function f (x) = V-3x4 – 2

A:

Q: Let h(x)=f(x)/g(x) where f(x)=x^2+5x−1, g(2)=−4, and g′(2)=−2 what is h′(2)?

A:

Q: 3. What is the domain of y =f°(e) # f(;)={-1°?

A:

Q: 9. If f(5) = 13, f' is continuous, and f'(x) dx = 16, what is the value of f(6)?

A: Use property of definite integration

Q: The function f (x) 4 +3 3x2 + 20 has all the following critical points except 3 -- (А) 4 (в) 2 -3

A: For critical points put first derivative=0

Q: 10. For f(x) = -x² +5, find f(a+h)– f(a) if h +0. h

A:

Q: he function f(x) = 5

A: Here we have to find the interval at which function f(x)=5x-ex is increasing.