Given  f(x) = 9x − 7  and  g(x) = 6x − 1,  evaluate the composite function. f[g(0)]

Q: Find (f- g)(x) when f(x) = 7x - 8 and g(x) = 2x - 2. O A. - 5x +6 О В. 5х-6 ОС. 9х -10 O D. 5x - 10

A: fx=7x-8gx=2x-2To find:f-gx

Q: x* - 3x + 2 2. Differentiate the function f (x) = %3| 2x+ 5x – 1

A: Given: fx=x2-3x+22x2+5x-1 As we know that; The Quotient rule: fg'=f'·g-g'·fg2 The Power law:…

Q: 1. Find f(x) if f'(x)=12x¹+3√x+7-2e -4 and f(1) = 4

A: Given f'x=12x3+3x+7x-2ex-4  and f1=4

Q: 3. For f(x) = x ² - 5, find f(x + h).

A: We have to find fx+h for the given function: fx=x2-5 In this case we just have to replace the value…

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

A: Given,f(x)=-x2+8x-15

Q: Find the critical points of the functionf (x) = 4x³ – 3x and the inflection point of the function…

A:

Q: snip

A: Make the changes function in the  function (f+g)(x) by adding and subtracting terms such that…

Q: 2. You graph the function f (x)= lx + 21, and your classmate graphs the function g (x)= lx – 21.

A: Given query is to find the similar attributes between f(x) and g(x).

Q: What is the end behavior of the function f(x)=2e^x

A: F (x)=2e x Now f(x) = c when x ->c

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: Find real values of x for which f(x) = 0. f(x) = x3 − x

A: Given: fx=x3-x To find the real values of x for which fx=0. Solution: Put fx=0 and then solve for x.…

Q: 2 Find f(x)- g(x) when: f(x) = x2 + 1 g(x) = 2x – 5 x? + 3x – 3x x² - 2x + 6 -x? + 2x + 4 x? - 2x –…

A:

Q: 2 Find f(x)- g(x) when: f(x) = x2 + 1 g(x) = 2x – 5 x² + 3x – 3x x? - 2x + 6 -x? + 2x + 4 x² - 2x –…

A:

Q: For the functions 7 f (x) = h(x) = /(22)2 –- x² g(x) = 11 + 14x – x², - i) Find f(-2)= ii) find…

A:

Q: 1 Find the domain of the function f(x) V4 - 2x – x²

A: fx=14-2x-x2

Q: 1. How will the function f (x) = (x – 6)° + 5 be transformed from its parent function? -

A: Given function, f(x)= (x-6)6+5 The parent function is g(x)= x3

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: The function f(x) =2x² – 3.x² – 12.x is increasing on: |

A:

Q: find the f(x+h) - f(x) / h for: f(x) = x² - 5x - 1

A:

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

A:

Q: Find f'(x) for the function. 6x3 - 2x + 1 f(x) x2 "(x)

A: Given query is to find the derivative of the function.

Q: Find f' (x) for ƒ (x) = 8x° – 3e".

A: Given : fx = 8xe - 3ex

Q: 3. For the function f (x) = 4x2 – 25, a) find f(-1) - %3D %3D b) find all x when f (x) = 0

A:

Q: 8. For the function: f(x) = x² - 7x - 4 find f( - 5)

A:

Q: f(x) = x3 -3x2 - 3x +1 x=-1 is a root of the function how would you show that?

A:

Q: find (f-g)x when f(x)=4-7x and g(x)=7x+1 a. (f-g)(x)=14x+5 b. (f-g)(x)=-14x+3 c.(f-g)(x)=-14x+5…

A:

Q: Find the intervals on which the function f(x) = x² – 6x + 10 is increasing and decreasing.

A:

Q: Given the functions g(x) = 5x - 2 find g-1(x)                                               4x + 3

A:

Q: Given f(x) = x2 - 3x + 8, evaluate f(-3) = Given f (x) = -3x² + 2x 7, evaluate f(2) = Given f(x) =…

A:

Q: 7.) For the functions f (x) = 3x2 – 5x +7 and g(x) = 4x +8 find (f • g)(x)

A:

Q: 5. Find (f g)(x) for f(x) = 4x -9 and g(x) 3x2.

A:

Q: Find f^-1(x) for f(x) = 9+8x f^-1(x) = ____

A: Topic = Function

Q: Let h(x)=f(x)g(x). If f(x)=−3x2+2x−3 and g(x)=−3x2+4x+3, what is h′(1)?

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

Q: Find the intervals of increase and decrease for the given function. f (x) = x2 + 4x + 3

A: A function is  increasing on an interval, where the value of the first derivative of the function…

Q: Given that f(x)= 5x+2 find f-1(x)

A: Given function is fx=5x+2. To find f-1x. Solution: Steps for finding inverse of the function. 1.…

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

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

Q: Find the function f(x) = -4x^2 + 3x-1 1. F(-2)

A:

Q: 2 For the functions f(x) = - 4x + 1 and g(x) = 2x-x+ 5, find f(g(3)). f(g(3)) =| %3D

A: given function are  f(x)= -4x+1  g(x)= 2x2-x+15  Find f(g(3)) .

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

A:

Q: For the function f(x) = x3/3-x2- 24x + 19.  What is the range of value over which the function is…

A: Let's find.

Q: Find f (x) for f (x) = 8x+3 5x+3 (x) =

A:

Q: Given that f(x) = 2x-2n + 8x², what value should be assigned to n to make f a function of degree 3?

A: Given f(x)=2x-2n+8x2. We need to find what value of n makes f(x) a function of degree 3.

Q: x=-2 of f(x)=√x²-1

A: Above question is solved.

Q: Find f' (x) for f (x) = 8x-3e. %3D

A:

Q: 5. For f (x) 3x 5 and g (x) 6 4x, find (fog) (x)

A: As per guideline we have to solve the problem

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

A:

Q: Find g(f(x)) for  f(x) = 4x - 8 g(x) = 7 - 6x

A:

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.