Find f. g, g. f, and g . g. f(x) = x2, g(x) = x - 1

Q: Let h(x) = x³ - 2x + 3 and find the value. h(-1)

A:

Q: If y = f(x) in the figure, find the following. y -6 -4 -2 (a) f(5) = (b) f(9) = 12 6 -6- (5, 6)…

A:

Q: Suppose the functions g and f are defined as follows. h(x) = -5+ 4x2 g (x) = 4 – 9x (ə) Find (4)…

A: Given that, h(x)=-5+4x2 and g(x)=4-9x. Part (a) The value of hg(x) is same as hg(x)=h(x)g(x)…

Q: Find f(3) for the given function. f(x)=(x-2)(x-4)(x+5)

A: Explanation of the answer is as follows

Q: if g(x) =3+ x+ e x , find g -4

A: g(x)=3+x+exTo find: g-4

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.