determine ( f ᵒ g)(x) and (g ᵒ f )(x) for each pair of functions. Also specify the domain of ( f ᵒ g)(x) and (g ᵒ f )(x). f (x) = √x and g(x) = 4/x

Q: Use f(x) = 5x – 3 and g(x) = 4 – x2 to evaluate the expression. (a) (fo n(-1) (b) (g o g)(-1)

A:

Q: Find (fo g)1; if f(x)= x+4 and g(x)= 2x -5.

A:

Q: Find the domain of the function f(x) = √(x + 2)

A: The domain of function f(x) is the set of all values of x where the function value is defined.

Q: If f(x) − x 2 and tsxd − x - 3, find the composite functions f o g and g o f .

A:

Q: If f(x)=5ex, find f(3).

A: Given function:

Q: Evaluate the indicated function for f(x) = 6x +3 and g(x) = 5x² − 1 a. (f + g)(3) b. (fg)(0)

A:

Q: Determine the domain of the function f (x) = √(5 - 3x).

A: Given, fx=5-3x

Q: Use the graph of f(x) = √x to write an equation for the function represented by each graph.

A: Solution:Given  f(x)=xFormula:y=x-a+b

Q: Let f(æ) = 2x + 3 and g(æ) = 2a2? + 4x. After simplifying, (f o g)(x) =

A:

Q: For the given functions, find (fo g)(x) and (g f)(x) and the domain of each. 1 f(x) -3x g(x) = X (f…

A: We plug g(x)=1/x inside f(x). And then simplify.Answer: (fog)(x)= 8x/(x-3)

Q: Find f (F + xJdx

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.