f(x) = 3x + 2r? – 5

Q: x3 Q3\ Evaluate f using substitution (3-2x)5

A: ∫x3(3-2x)5dxApply linearity-∫x3(2x-3)5Substitute…

Q: HX)= 2 X-7 g6x)=-8x-5

A: Note: (f+g) (x) = f(x) + g(x)

Q: (c) Determine the values of x for which the function f (x) = {x+ 2 2x2 x5 is discontinuous. x25

A:

Q: 1. If f(x) =+1 and g(x) = 1-V2x. Find f-1? Check your answer ? Draw f and g? Check your answer ?…

A: We have to find inverse function

Q: Find g'(3) given that f(3) = -2, f'(3) = 4 , and g(x) = . 2x+1_ f(x) * Answer:

A:

Q: 6x Given f(x) = is one-to-one, find f-(x). x+2

A: Given that        f(x) = 6x/(x+2)  Here we have to find f-1(x).

Q: f (h+4)-f (4) (***) Use the function f (x)=3x² – 5x to evaluate

A: Given,

Q: 3x Find the domain of h(x) x* - 9

A: To Determine: Find the domain of the function h(x) Given: we have hx=3xx2-9 Explanation: we have an…

Q: 2+ and g(x) = Figure out the domain of (fog)(x) in which f(x) = 4-x2

A: Given f(x)=2+x4-x2g(x)=1xHere…

Q: If g(x) = (2x - 4)/(x + 2) , find f (2), f (-1), and f (3a).

A:

Q: Find the inflection point, if any, of the function. (If an answer does not exist, enter DNE.) g(x) =…

A: Find the inflection point, if any, of the function. (If an answer does not exist, enter DNE.) g(x)…

Q: f(x) = 2x2 +6x -7 and g(x)= 2x-7 find the following  f(-2) -g (-2)

A:

Q: 2x2 Give the function f (x) = 2x ,find f =) x -1 x- 1

A:

Q: Letf(x) = 2x - 5g(x) = 4x - 1h(x) = x2 + x + 2.Evaluate the function (g ∘ f)(0) without finding an…

A: Given: f(x)=2x-5g(x)=4x-1h(x)=x2+x+2 We have to find the value of (g∘f)(0).

Q: Find the value of x for which f9x0=g9x0. (Enter your answers as a comma-separated list.) f(x)=x^2,…

A:

Q: f (x) = V3 – x, g(x) = Vx² – 16. Find the domain of g •f

A:

Q: B) Find the different quotient of f(x)=-3xcube+x-1

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: The zeros of f(x) = x2 − 5x − 6 are −1 and 6. What are the coordinates of the x-intercepts of the…

A: Given:

Q: Let g(x) = -x² – 6 and find the value. g(1)

A:

Q: (f°g) given: f(x)=5x2+6, g(x)=6x-2

A: Given that: fx=5x2+6,   gx=6x-2

Q: The functiong is defined by g (x) =x´-4. %3D Find g (4x).

A:

Q: f(x)= 2x2- 5 and g(x) = -2x + 4, find the following  f(2) - g(2)

A:

Q: f(x) = -3x²-20 find f(-a)

A: Explanation of the solution is given below...

Q: 2x Let f(x) x- 4 (a) Find f(2) and f(a + 4). (b) Find the domain of f.

A: We have to find: (a) f(2) and fa+4 (b) Domain of f. Where function is given as: fx=2xx-4 Solving…

Q: ) Given f(x) =x² +3 and g(x) = x - 4, find (go f)(x). Simplify your answer. %3D

A: Since,       (gof)(x) = g { f(x) } f(x) = x2 + 3 and g(x) = x - 4 put the f(x) into (gof)(x)

Q: f(x)=2x2 + 3x - 4 and g(x) = 2x -5 find the following (f multipled by g) ( 1 over 2)

A: Given that, To find,

Q: Evaluate the function. 2 f(x) = –x² – 3x + 15 Find f(-8)

A:

Q: 3. Find the domain of the function ух- 10 f (x) : wwwwww

A:

Q: Given the function g(x)=−9x^3 Find x when g(x) = -243

A: Answer

Q: |x-3. Find flexo :)? f(x) = \ / . \

A:

Q: ind the inflection point, if any, of the function. (If an answer does not exist, enter DNE.) g(x) =…

A:

Q: If f(x) = x? – 3x + 4, find f(-3) and f(2a).

A: Given,f(x)=x2-3x+4,to find: f(-3) and f(2a). Solution: f(x)=x2-3x+4Substituting,x=-3 we get f(-3)…

Q: . Find f+g, f-g, fg and . 1 4 1. f(x) = , g(x) =12 2x' x+12

A:

Q: Use the function f(x) =3x2-5x,g(x)=6x-4,h(x)=5-x3 find the (gof)(x)

A:

Q: Use f(x) = x²-x, g(x) = 9– 2x, and h(x) = x² + 2r-63 Find (g f)(x)

A: Given: f(x)=x2-xg(x)=9-2xh(x)=x2+2x-63 The objective is to find leading coefficient of the function…

Q: Which is the quotient of f (x) if f(x)= 2x? + 3x-5 and g(x)= 3x² -x -23 g(x)'

A:

Q: Find f such that f′(x)=8x​, ​ f(4​)=47.

A: Given, f′(x)=8x​,​ f(4​)=47.

Q: Letf(x) = 2x - 5g(x) = 4x - 1h(x) = x2 + x + 2.Evaluate the function (f ∘ g)(0) without finding an…

A:

Q: Q5/ Find the domain and range (a) f(x)= (b). x+1

A:

Q: Determine whether f is even, odd, or neither even nor odd.

A: Known fact: A function f is said to be even function if f-x=fx for all x. A function is said to be…

Q: Which is the quotient of f(x) if f(x)= 2x? + 3x -5 and g(x)= 3x² -x -2? g(x)'

A:

Q: f(x) = 2x2 + 6x - 7 and g(x) = 2x -7 find the following  f(-2) - g(-2)

A: f(x) = 2x2 + 6x - 7 and g(x) = 2x -7

Q: ) Determine whether f(x) = is even, odd, or neither. r2 + x +1

A: we have to determine whether the given function is even, odd or neither

Q: f(x) = 2x2 + 3x - 1 and g(x) = 2x -2 find the following (f*g)(-2)

A:

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: Find the domain of the function f(x) domain? = 1 √ x² + 1x 30 . What is the greatest value of a not…

A: The given function,  fx=1x2+x-30

Q: How find the domain of composite function?

A: Function are

Q: Q8: The function f(x) = x*-5x² +x +1 has root in B) [1,2] A) [-1, 1] C[2,3] D) [0,3]

A: we have to find the root in above 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.