Solve f(x) > 0

Q: f(x)=√x-2 if x>-1; f(-2) 1-(x-2) ifx ≤-1

A: To find f(-2) , substitute x= -2 in the corresponding function.

Q: Find f(g(x)) if f(x) = (3x+1)/x and g(x) = -2x + 1.

A: Given functions  f( x ) = ( 3x + 1 )xg( x ) = ( -2x + 1 )

Q: Show that the function f (x) = (2x2 + 3)3/2 is decreasing for x 6 0 and increasing for x 7 0.

A: Given: f(x)=(2x2+3)32

Q: The function f(x) = x/(x - 2) is one-to-one. Find f -1

A: Given the function fx=xx-2 is one-to-one. To find: f-1 Solution: Given function can be written as:…

Q: If f(x)=(3m-2)x+6 is a constant function m =?

A: For the constant function the coefficient of x should be zero.

Q: if h(x)=x2-6, find h-1(x)

A: To find the inverse of the function, use the below steps. Replace h(x) by y, so we get y = x2 - 6

Q: f (x) = x-5>2

A: The given inequality is x-5>2. Solve this inequality as follows.

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

A:

Q: Is the function g(x) = x2 one-to-one?

A: Take x=2. g(2)=22=4. Take x=-2. g(-2)=(-2)2=4

Q: f(x) = 3 IS %3D 3(x)ミVX |(90gl0) = ?

A:

Q: Given f(x) = 7 + 3  /  8  , then f-1 (x)  will be?

A:

Q: Find the smallest value of the function f(x) = x³-3x² - 9x + 5 on the domain −4 ≤ x ≤ 4.

A:

Q: Show that the function f (x) = -x3 + 2x2 - 6x + 3 is always decreasing.

A:

Q: If f(x) = x + Vx + 5, find all values of x for which f(x) = 7.

A: Given, fx=x+x+5 and f(x)=7

Q: If f(x)=(m-4)x+7 is a constant function m =?

A:

Q: if f(x-j) = 2x4-x3+2x2+x, find the value of f(x/j)

A: Note:- For this problem, nothing is mentioned about j. If it is a complex number or a variable. For…

Q: For each of the following functions i) f(x) = -2 x²(x² − 9), ii) g(x) = (x + 2)(x − 3)(x² − 4). a)…

A: Given function, fx=-2x2x2-9 To sketch the graph of the function, should use the some important key…

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

A:

Q: e. f(x) = 2* OA. O(x²) B. Q(x²) C. O(x²) В. f. f(x) = [x][x] (floor of x times ceiling of x) OA.…

A: Option (B) is the correct answer.

Q: find f-1 (x) for the one-to-one function f(x) =4x+1 divided by 5

A: Given function is f(x)=4x+15 Also given that f(x) is one-to-one function Now we have to find f-1x

Q: Let f(x)=x^2-6x+9. Find x such that f(x)=1 The solutions are nothing

A: First I have set the polynomial equal to 1  That is set,  f(x)=1 and solve for x, we get x=2, X=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.