f(x) = [6x - 1 if x < 0  and  7x + 3 if x ≥ 0] Evaluate : a. f(-3) b. f(0) c. f(4)

Q: find f(x) so that f'(x)=-4e^(x)-6sinx

A: To find f(x) from f'(x) , we have to integrate f'(x) We first separate the integral

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

A:

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: Is f(x)=x^2-2x even or odd ?

A:

Q: 20. Evaluate f(a+2) for ƒ(x) = %3D 4x-8*

A: Given: f(x)=34x-8

Q: Find the constant a such that the function is continuous on the entire real line. - [8x², a = ax -…

A:

Q: Find a rule for g-1(x) if: g(x)=2x-1

A: Given  g(x) = 2x-1 We have to find  g-1(x).

Q: Let f(æ) = (2x² + 1)(3z + 5). %3D The sum of the coefficients of f'(x) is equal to

A: Find derivative and sum of coefficient.

Q: AB2: Let h(x) = f(5x-9). Find h'(3).

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: (c) Show that f(x)>0 for all values of x, x # -2.

A:

Q: (4x+7 (ii) If f(x) = { 14x²-1 Isxs2 2<154 determine whether the function f(x) is continuous…

A: In this question we have to check whether the given function is continuous throughout its domain or…

Q: Let / (r) – = 2x 3z+2 and g (r) 6x 5x+2. What is the rule for (g-f) (x)? o (g-) ()- 4 2x o (g-) (2)…

A: Given functions are                                   f(x)=2x4-3x2+2g(x)=6x2-5x+2 we have to find…

Q: can i get help step by step

A: We have to essentially find the integral of the given function

Q: If f(x)=7sinx+9cosx, then f'(x)=? then f'(2)=?

A:

Q: Find (f-1)'(a) for f(x) = ーX-3 when a = 3x +2 (Enter an exact answer.) Provide your answer below:…

A:

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

A:

Q: 5x°+7x Differentiate f(x) - using quotient rule. %3D 2x2-4x+5

A:

Q: The function f(r) = x - 18x2 is increasing on the intervals

A:

Q: -2 Find f'(x). Given: f (x) = (2x3+3x2-5)2

A:

Q: f(x)  =  x3 − 3x2 is increasing on the interval  0  ≤  x  ⩽  1 TRUE OR FALSE?

A: Given: f(x)  =  x3 − 3x2     To determine: The interval of increasing.

Q: Find the absolute extrema of the function f(x) = x* - 72x + 1296 on the interval [-7,7].

A: To find: The absolute extremum of the given function

Q: Let f(x) = 6 + V2x + 11. Find ƒ ¯'(x). f- (x) = where the domain is [6, ∞)

A: The inverse function of a given function y=f(x) can be obtained by interchanging y and x in the…

Q: 49. Find (f)'(3) if f(x) = x³ + x + 1.

A:

Q: -3x2 , f'(x) = 54x Let f(x) = (x2 – 9)2 x² – 9' -162(x2 + 3) (x2 – 9)3 and f"(x) = -

A:

Q: 5.) Evaluate f(-3) for f(x) = x³ +3x + 17

A: Given  f(x) =x3+3x+17

Q: 3. Find the domain of g(x) = v16-x² and h(x) = Vx² – 16. Express your answer using interval…

A:

Q: 7. Find the domain of f(x) = V² + 2x – 3 and write it in interval notation.

A: The solution is given below.

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: Find f(x) =2x2+3x-5, then prove that f'(0) +3f'(-1)=0

A: Givenfx=2x2+3x−5To provef'0 +3f'−1=0

Q: Find f(x) such that f'(x) = 2x4-7x and f(2)=3

A:

Q: 0-64 N

A:

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

A:

Q: Find f such that f'(x)= 7x +7x-2 and f(0)= 8.

A:

Q: An approximation of f'(2.5) is: -0.52083 -0.09895 -0.14825 -0.14583

A: We will apply the continuity of f(x) at point x=2 to find the unknown value of a  Next we will take…

Q: 32) If f(x) = -3x+ 2 and g(x) = 2x², find f(g(-1)).

A: Given values are f(x)= -3x+2                            g(x)= 2x2 we need to find f(g(-1)).  This…

Q: -3x-11 for f (x) = 2 for x>5 Find f(-1)

A: The given function is  f(x) = -3x-11if x≤-52if x&gt;5

Q: Given that f(x) = 7|x| + 3x  -1, Find: a) f(-x) b) -f(x) c) Is f(-x)= f(x)?

A:

Q: Find f such that f′(x)=7x2+9x−2 and f(0)=7.

A: We integrate the given function and use the given condition f(0)= 7 .

Q: The domain of the function f(x, y) = In(-x² -+1) is: 4 x² + 4 x² + y? > 4 1 x² + y2 <4

A: See the attachment

Q: Suppose k>0. What is the domain of F(x) =/k² – x² ?

A:

Q: If f(x)=2sin^-1(x^3), then f’(x)=?

A: Solution:

Q: The absolute Extrema of the function f(r) = -V-x² + 8x- 15 on its domain are .2

A:

Q: V. Find the value of k that makes the function continuous. 2x2-3-15 if x + 3 if x = 3 f(x) = %3D x-3…

A:

Q: 6. Given f(x) = -3x*-12x3-7x +3, find f(-2) by plugging into f(x) %3D

A:

Q: Find f (x) given f "(x)= 6x² +8x³ – x and the initial condition f(-1)=- 2

A:

Q: Find f(x) such that f'(x)=2x4 - 4x and f(2) = 3

A:

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:

Q: Find f such that f'(x) = 5x +9x -4 and f(0) = 8. f(x) 3=

A: we will integrate and  solve