Find the critical numbers of the functions. a) f(x) = 4x° + 4x b) f(x) = x? – 4x² – 5x ) f(x) = 3x3 – 3x² – 18x

Q: 3.lf g(x)=x* – 2x³ – 7x2 + 8x + 16, find f(3).

A: Given that, fx=x4-2x3-7x2+8x+16 We have to find f(3).

Q: Find f′(x) and f′(c).

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: 1. Given function f(x) = (2-5x)(x-6)(x+1), find (A) Degree of the polynomial, (B) Alla intercepts,…

A:

Q: Consider the functions, h(x) = 3x – 7 and k(x) = . b. Find h(k(x)) X+7 | a. Find h(k(- 2)) c. Find…

A:

Q: Find f(x) and g(x) such that h(x) = (fog)(x). 4 h(x) = (6x+3)* Choose the correct pair of functions.…

A:

Q: Find the indicated outputs for f(x) = 2x² - - 2x.

A:

Q: Of (x) = (4x-6x* + 4 3 3 Of (x) = x* – 2x³ + 5 Of (x) = x* – x³ +4 6 ,3 %3D f (r) – 2r4 6r3 1 8

A:

Q: Let f(x) = x2 + 2x – 1 and g(x) = 2x – 4. Find 2f(x) – 3g(x). 2x2 — 2х — 14 -3x2 – 2x – 1 Option 1…

A:

Q: For P(x)=6x* –18x² +6x² – 30x +36 -

A: given that P(x)=6x4-18x3+6x2-30x+36

Q: Find functions f and g so that fo g=H. H(x)=√x² +12 Choose the correct pair of functions. O A. f(x)…

A: We have given a composite function  f○g=H Hx=x2+12 Checking pairs (f○g)x=fgx Afx=x , gx=x2+12…

Q: 8) Find 4 given : f(x)=- (3x² – 2x +1)'

A:

Q: 8. FIND f(4) (x) OF f(x) = 3x7 + 4x6 + 8x³ – 2x + 1

A:

Q: Let f(x) = x2 –4x and g(x) = 2+x. Find (-3). %3D (- 3) =| (Simplify your answer.)

A: Given, f(x)=x2-4xg(x)=2+x To find: fg(-3) Note that fg(x)=f(x)g(x)

Q: . Let f(x) = x² + x + 3, g(x) = 5x + 3 and h(x) = 2x² – 4x + 1. Find the following: d. (fo h)(-5y)…

A: Composition of the function

Q: -4x + 5 and g(x) K5. Let f(x) a) Determine an equation for the function 2(x) 3D f(x) + g(x). Then,…

A: Given f(x)=-4x2+5 and g(x)=2x-3h(x)=f(x)+g(x)        =-4x2+5+2x-3…

Q: Find y 1f y=X in (4x+1)

A:

Q: If f(x) = 2x - 4, find f-¹(x). OX-4 2 O-2x+4 O X+4 2 O 4-x 2

A: The inverse of a function f is a function that undoes the operation of f.

Q: Let f(x) = 6x2 – 8x + 10. Which of the following functions is most like f(x)? d)k(a) = 3a? – 8a + 10…

A:

Q: Given the function f(x) = 4x² – 3x + 1. Calculate the following values: f( – 2) = - f( – 1) = f(0) =…

A:

Q: Find f(x+h)-f(x) h 2 f(x) = 5x + 14x-13 OA. B. 10x+14+5h 2 10xh + 14h + 14h² C. 10x+14 OD. 5x+6+ 10h

A:

Q: If H(x) = 4x* - 8x + Vx, then find H (x).

A: Find derivative of H(X)

Q: la Graph the function f)= 2xcX -4) (xt 3] 2x(x-4)(xt3)

A: Given

Q: 1. Given f(x) = 2- 3x and g(x) = 2x + 5x – 1, find the following values. a) f(-3) b) f(0) c) -2g(3)…

A: This question is about finding values of functions at a given point  .

Q: If f(x) = 3x - 1, h(x) = 6x + 5, and fog=h, find g(x). А) 2х + 1 В) х+1 С) х+2 D) 2x + 2

A: