The function ​f(x)equals=StartFraction 4 x plus 5 Over 3 x minus 4 EndFraction4x+53x−4 is​ one-to-one. ​(a) Find its inverse and check your answer.​ (b) Find the domain and the range of f and f Superscript negative 1f−1.

Q: y5 + 2y = x² a. b. 5x – 4y? = + 9x?

A: a. y5+2y=x2b. 5x-4y2=xy+9x2

Q: The following function takes t, number of seconds since a ball was tossed in the air, and gives H,…

A: h(t)=-16t2+90t+5where t is in seconds

Q: fox>=3Jx+3 fcx)

A:

Q: Differentiate the function. f(x) = x6174 + 2x50 – 13x* + 4x – x-6 + n²

A: Derivative of function

Q: 1=x2 what is x?

A: The root of negative value is imaginary

Q: Determine h(x + 4) for the following function. Answer h(x) h(x + 4) = 4x x²3x5

A:

Q: Optimize the function 81x2+y2 subject to 4x2+y2=9

A: here we Optimize the function 81x2+y2 subject to 4x2+y2=9  F(x,y)= 81x2+y2  g(x,y) = 4x2+y2=9

Q: State the domain of  f(x) =  8^ √ 5 − 2x.  Enter your answer using interval notation. The domain is

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.