Let f(x) = 4x + 5 and g(x) = 3x – 4. Find all values of x for which f(x) 2 5 and g(x) < 2. %3D

Q: d the local max and min values of the function f(x)= 3x3 – 2x if it exists.

A:

Q: The population of a city is expected to be P(x) = x(x2 + 36)−1/2 million people after x years. Find…

A: Given,         The population of a city is expected to be Px=xx2+36-12 million people after x years.…

Q: Find the absolute extreme values of the function on the interval. g(x) = -x 2+ 11x - 30, 5sxs6 %3D

A: Consider the function  g(x)=−x2+11x−30        ,5≤x≤6

Q: 3. Find the extreme values of the function y = x3 – 2x + 4 and where they occur 2

A:

Q: Find the domain of the function.

A: Given: kx=x+3x-1 Domain of a function is the set of all values of x for which function is defined…

Q: Q2) Find the values of constants (a)&(b) that makes the f(x)= ax + b 3 (-3 x≤-2 -2<x<4 x24 Con

A:

Q: f (x + h) – f(x) - With f(x) = 5x² – 3x + 2, find h

A:

Q: The functionf and g are given by f (x) = 3e2x and g(x) = 2 In(5x +1)

A: f(x)=3e2x g(x)=2ln(5x+1) fog(x)=f(g(x))=f(2ln(5x+1)) =3e2.2ln(5x+1)

Q: Consider the function: f (x) = x³ + 3x2 – 45x + 3 Step 1. Find the critical values of the function.…

A:

Q: Find the values of k for which f(x) = kx3 -9kx2+9x+3 is increasing on R

A:

Q: Find the value(s) of x for which f(x) = g(x). f(x) = x4 − 2x2, g(x) = 2x2

A: To find the value(s) of x for which f(x)=g(x). f(x)=x4-2x2,g(x)=2x2 Solution:…

Q: f ( x ) = 5 x + 2 at x = 7

A: Given: f ( x ) = 5 x + 2     To determine: value of f(x) at x = 7 i.e, f(7)

Q: f(x) = 32x − 8x2 find the critical numbers of the function.

A:

Q: 6.Given f(x)= 3x – 2 and g(x)= x2 – 5x, find f(-1)+g(2)

A: The given functions are: fx=3x-2 and gx=x2-5x To find f-1 replace x with -1 in fx=3x-2 and similarly…

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: Find all local maxima and minimaf(x) = x^2(x−1) +3

A: Given,

Q: If p(x) is the total value of the production when there are x workers in a plant, then the average…

A:

Q: Suppose that 2 < f '(x) < 3 for all values of x. What are the minimum and maximum possible values of…

A:

Q: If f(x) =−3x + 2 and g(x) = x² − 3x + 5, find: a) fog(x) b)go f(x)

A:

Q: F(x)= X^3-18X^2+81X Maximas occur at x=

A: Assume x=c is the critical point of f(x). If f'(x)&gt;0 to the left of x=c and f'(x)&lt;0 to the…

Q: Which is equal to () (x) given that g(x) = 1 – 3x and h(x) = Vx? %3D Vx – 3xVx 3xVx Option 1 Option…

A: Let's find.

Q: 7. Find the natural domain of the function f(x) = V4– 3x .

A:

Q: Find the local maxima and minima for the function f(x) = Px – P²x² + N

A: fx=Px-P2x2+N Put P=12 &amp; N=6, we get fx=12x-122x2+6⇒fx=12x-144x2+6 Now differentiating with…

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: 16) Find (f • g)(x) for f (x) = 4x³ – 5 and g(x) = 2x. %3D -

A:

Q: 19. Given g(x) = 3x – 2x, find 9(x+h)-g(x)_ %3D

A:

Q: Let h(x)=f(x)+g(x). If f(x)=x4 and g(x)=6x3, what is h′(−3)?

A:

Q: Find the values of x for which the function f (x) = x −7/x^2 + 3x −70 is continuous.

A: Topic:- function

Q: Rewrite h(x)=- Vx+3 in terms of f and g. 3.

A:

Q: If f(x) = 4 – x² & g(x) = vx then find (fog)(x) , (gof)(-

A:

Q: Let g(x)=4x csc x . Find the (exact) value of 5л g 6

A: Given Data: Function: gx=4xcsc x   The first derivative of the given function is, g'x=ddx4xcsc…

Q: [4]f (x) = x* (Domain and Range) %3D

A:

Q: Find f'(x) for f(x) = e* - 5x.

A: Given : fx =e4x2-5x

Q: Find the range of f(x)=x-5x+6. O [-1/4, 0)

A: The given function is:fx=x2-5x+6To find the range

Q: If g(x) = x2+4x with x greater than or equal to -2, find g-1(5).

A: g(x) = x2+4x with x greater than or equal to -2Let g^-1(5)=x where x is greater or equal to -2,so we…

Q: (a) g(x) = x + 1 x-1 (using the definition)

A: # As per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: Which is equal to (4) (x) given that g(x) =1 – 3x and h(x) = Vx? %3D Vx – 3xVx - 3xVx X. Option 1…

A:

Q: Let h(x)=f(x)+g(x). If f(x)=6x and g(x)=3x2, what is h′(−1)?

A: Add the given two functions and differentiate with respect to x

Q: Given f(x) 3D4X-6 and g(x) = 2x 3x SPO find (f-g)), +g), (S.g))

A: Given that, fx=4x-6 ; gx=2x2-3x We have to find, f-gx ; f+gx ; f·gx ; fgx

Q: Evaluate h(4), where h = go f. 3 f(x)=√x²9, g(x) = 6x³ +9 h(4) =

A: The given functions,fx=x2-93, g(x)=6x3+9

Q: Let f(x):4x1 and gx):3x+x find the Value of X for Which (fog) (x)=(30f)x

A:

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

A:

Q: (fog)(x). f(x)=x2+4 and g(x)=x2-7

A: Given data:   The first function is f(x)=x2+4. The second function is g(x)=x2-7.   The expression…

Q: Which is equal to (2) (x) given that g(x) = 1 – 3x and h(x) = Vx? Vx – 3xVx 3x/x - Option 1 Option 2…

A:

Q: 3. f(x)=5x-3 g(x)=(x-1)2 %3D

A: Here, the given functions are: f(x)=5x-3, g(x)=(x-1)2 To find g(f(3)).

Q: Find the value of k. f(x) x 21 4 g(x) - x + k k = %3D

A:

Q: Find the local extrema f(x) = x 6/5 – 18x/5

A:

Q: e) (f-g)(-4)= %3D

A:

Q: For what value of x does  function g(x)= (-1/3)x^2+2x^2 convex?

A: please see the next step for solution