Find f ∘ g, g ∘ f, and g ∘ g. f(x) = 4x,   g(x) = x4

Q: f(x)=5x2−4x−1 and g(x)=x2+3x+8, find a. (f−g)(x)  b. (f−g)(−2).

A: Given function: fx=5x2-4x-1gx=x2+3x+8 To find: a. f-gxb.f-g-2

Q: Given f (x) =-7x - 8 and g (x) =x², %3D (a) Find (f °g)(x). (b) Find (g of)(x). (c) Is (f °g)(x)= (g…

A: Given- fx=-7x-8 and gx=x2 To find- a-fogxb-gofxc-is fogx=gofx ?

Q: Find gof. f(x)=x², g(x) =x -4

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: how to find the composition of (f0g)(x) f(x)=√4-x^2 and g(x)=√3-x

A:

Q: If f(x) = 3x + 2 and g(x) = x - 5, then what does (fg)(-4) equal

A: According to the question,  We have: f(x) = 3x + 2 g(x) = x - 5 We need to evaluate the value of…

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: f(x)=−4x+4​,g(x)=−5x2+5x−4​,andh(x)=−3x2+8​, find h(−1​).

A:

Q: If f(x) = 3x + 3, g(x) = - 3x2 - 4x + 3, and h(x) = - 4x2 - 6, find g(0). %3D g(0) = (Simplify your…

A:

Q: Given that f(x)=x^2+3x-70f(x)=x2+3x−70 and g(x)=x-7g(x)=x−7, find (f-g)(x)(f−g)(x) and express the…

A: Given,

Q: If f(x) = x - 8 and g(x) = 3x + 6 then fg(-2) = %3D %3D

A: Since, we have been given that f(x)=x-8 and g(x)=3x+6.Our Aim is to calculate fg(-2)=?

Q: G(-2) if g(x) = -x^2 + 4x + 1

A:

Q: Find all values of x by satisfying the given conditions. f(x) = 2x - 5, g(x) = x2 - 3x + 8, and (f ∘…

A: Consider the given functions, fx=2x-5gx=x2-3x+8 the function composition is defined as applying one…

Q: If f(x) = 3x and g(x) = 2x – 3, find (fg)(-1). %3D

A: The given functions are, fx=3xgx=2x-3 We need to find the function, fg-1

Q: if f(x) = 4x -3 ,g(x)= 8x +2 ,find a) f(g(x)) b) gof c) gof(2)

A:

Q: If g (x) = x* - 2x3 – 7x² + 8x + 16,find g (-1), g (-2),g (2),g (3)

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: If g(x)+xsin(g(x)) = x2-16 and g(4) = 0, then g'(4)=?

A:

Q: If f (x) = 5x2 2a + 7 and g (a) = -2x2 + 6x + 3, then f (x) - g (x) = %3D

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: f(x) = -x² + ax + b, x < 2 (-ax + 7, x ≥ 2

A: Here we have to find the value of a and b such that,  f(x)=-x2+ax+b, x&lt;2-ax+7, x≥2 is continuous…

Q: (a) g(X1, X2, X3) = X1 + 3X2 + 4X3 (b) g(X1, X, X3) = X1 X2 X3

A:

Q: When g(x) = 9x +3x +3, evaluate g(-3) g( – 3) =

A: Given x=-3 , we will plug x=-3 inside g(x)

Q: If f(x) = x - 8 and g (x) = 3x + 6 then gf(-2) =

A:

Q: f(x) = 2x - 5 and g(x) = x^2 + 2, find the (fg)(x)

A: Solution:Given     f(x)=2x-5   and     g(x)=x2+2To find (fg)(x)Formula:(fg)(x)=f(x)g(x)

Q: If g(x) = , what is g'(x)? 2x-1 x²+3x '

A:

Q: Given g(x)=-2x+5g(x)=−2x+5, find g(2)g(2).

A: g(x)=-2x+5 Substituting x=2, we get g(2)=-2*2+5=-4+5=1

Q: g(x)= , x-x6 3x² -5x+6 Find g'(x).

A:

Q: Find the values of A, so that the function F (x) = {1-3x                         x 4    is…

A:

Q: f(x) = -3x² + 2, g(x) = x + 2 Find f(-5) - g(-5).

A:

Q: Find (gof)(x) if f(x) = 4x and g(x) = 3x+6

A:

Q: f (x) = 2x² + 3x – 4, g(x) = 2x – 1. Find (g •f)(x) -

A: Given,          fx=2x2+3x-4          gx=2x-1

Q: If f' (2) = 3, and g(x) = 9f(x), what is g' (2)? %3D Do not include "g' (2) =" in your answer. For…

A: Given that g(x)=9f(x) Applying differentiation with respect to x on both sides Then g'(x)=9f'(x)

Q: If f (x) = 5x2 - 2x + 3 and g(x) = -x2 + 4x - 5, find f (-2), f (3), g(-4), and g(6).

A: fx=5x2-2x+3 &amp; gx=-x2+4x-5

Q: g(x)=3x-4g(x)=3x−4, find g(1)g(1).

A: we will do simple calculation

Q: If g(x) = x* – 2x³ – 7x² + 8x + 16. Find g(-1), g(-2), g(2), g(3)

A: Put the values in g(x) and solve

Q: F(x)=32-2x^2, [1,4]

A: Given, f(x)=32-2x2

Q: ff(x) = 4x2 and g(x) = /1- x, then what is the domain of g(f(x))? %3D

A: we have to find

Q: f(x) = -2x X- 13 - 2x

A:

Q: g(x)=−3x−4, find g(5)

A: g(x)=-3x-4. Put x=5 to get g(5)

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: Given: f(x)=2x2+3x-5, g(x)=x+9. Find: | (f-g)(3) (f-8)(3) = %3D

A:

Q: Given g(x) = 2x + 5, find g(1).

A: Given that: g(x)=2x+5

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: - ((If g(x) = x3 and f(x) =x - 6.72 , then find the value of f(g(8.4 %3D

A:

Q: b) g(x) = /x – 1, find g(2), g(1), and g(-1).

A:

Q: Given f(x)=2x-4 and g(x)=x2+7x+2, find: fg(-4) - g(2)

A: Given  fx=2x-4gx=x2+7x+2 The product of two functions are given by fgx=fx·gx So…

Q: If g(x) = 4x* – 3x² + 2x – 2. Find g(2), g(-2), g(1/2), g(-x)

A: Solve the function

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.