9 - x (x - 5) (2· x + 3) f(x) = %3D

Q: Find the domain of the function F(x)= 11/x-15

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

Q: f(x) = xlog4(22x)

A: To simplify the given logarithmic function.

Q: Find the domain of f(x)= 7/4-2x

A:

Q: Given f(x) = 7x and g(x) = 7x^2+9a. (f of g)(4) b. (g of f)(2) c. (f of f)(1) d. ( g of g)(0)

A: To evaluate the composite functions at given points

Q: Given the function f(x)

A: Given,          f(x)=3x2-5x+3

Q: y = x+ – 4x³/2 (x > 0) (x>0)

A: Consider the function:

Q: 1. Consider the Sturm-Liouville equation dz (p(x)du) — q(x)u + \p(x)u = 0 dx on a 0 and q > 0 for a…

A: Answer Explanation:Approach to solving the question: Detailed explanation: Examples: Key references:

Q: f (x) = x2 - 7x + 10/x - 5, x = 5

A: We have the given function as fx=x2-7x+10x-5 On solving further by factorising the numerator part,…

Q: find the constant term of (2x² + 1/x)⁹

A: find the constant term of (2x² + 1/x)⁹

Q: If f(x) = 2×, show that f(x + h) – f(x) = 2×( 2" -1). h Simplify your answers completely at each…

A:

Q: Find the derivitive and show each step f(x) = 5/ (2x-3)^4 y = -6e^12x

A:

Q: For the problem, find a.  f of g  b. g of f  c. f of f d. g of g f(x) = 3x+1 and g(x) = x^2

A: To determine the expressions for the composite functions.

Q: Find f(9(x)) when f(x) = 2x +1 and g(r) = 2? +

A: On solving this we will get

Q: Calculate f(h + 1) and simplify completely. Calculate the average rate of change of f from r = 1 to…

A:

Q: Let /(x) = 7 - 9x - 20. Find f(-3)

A:

Q: Consider the function f(x)=5√x+9x^3+6x f′(x)=

A:

Q: Move the three points so that they form the function f(x) = (x – 5)*(x + 4)²(x– 1). Press the button…

A:

Q: What value of b completes the function f(x) = −x2 + bx + 1?

A: We have to find the value of b that completes the function f(x)=-x2+bx+1.

Q: Find (9x? - 8x + 2) dx. (9x² - 8x + 2) dx²

A: We know, ∫xndx= x(n+1)/(n+1) +C , C is a constant and for any real number n.

Q: (7x)x = 7(x * x) = 7x2

A: Given, (7x)x

Q: Find f. f"(x) = 6 + 6x + 36x², f(0) = 3, f(1) = 14

A:

Q: If f(x) = 3√5x-3, find f-1 (x)

A: given f(x) = 5x3-3 let y = f(x) = 5x3-3

Q: If the point (-1/2, 1) is on the graph of f(x)=a(x-3)^2+50, what is the value of a?

A:

Q: g(x) = -1/2 (x+3)^2-4 compare to f(x) = x^2

A: Given that  g(x)=-12x+32-4f(x)=x2

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.