3. Suppose f is an invertible function with domain (-oo, o) (so that f can be evaluated at any real number), partially described by the table below. 1 | f(x) | 3 4 -2 1 -5 (a) (b) Find f-1(4). Find f-'(f(5000)).

Q: Show that f(g)x = x - 5x  Show f(g)x = x

A:

Q: Find max and min of function on the interval    f(x)=-x4-x3+5x2-4 on [-2,1]

A: The given function is; f(x)=-x4-x3+5x2-4 on [-2,1]

Q: Let x + 2 f(x) x + 9 f-(- 9) =

A:

Q: 13. (a) Find the inverse of the functio x) = 2x – 5 (b) Find f- (3)

A:

Q: Consider the following. f(x) = 8x – 3, g(x) = 1 - x Find (f - g)(x). The difference of two…

A:

Q: 4. A function is defined using the formula f (x)=E 2T. Which of the following is the value of f(5)?…

A: Given function is: f(x)=∑jxj=25

Q: For the function f(x) = 5x° -4x +2x + 3, findf "(x). Then find f"(0) and f"(4). f"(x) = Select the…

A: Double derivative

Q: A function h is defined by:H(q)=aq^3+q^2+bq-240 When ?(?) is divided by (4 - q), the remainder is…

A:

Q: Find the domain of the composite function f-g. 1) f(x) · g(x) = x+91 45 X+5 A) (xx-5, x-10) C)…

A:

Q: Let x + 1 f(x) x + 9 f-'(- 4) =

A: To find the solution first we have to find the inverse of the given function and then evaluate it at…

Q: Expand f(2) = z-5)(=-15) in the domain 5 < |2 < 15 .

A:

Q: domain of f(x)=V9– x² is 1- (9,-9) 2- (-3,3) [-3,3] [9,-9] 2- 4-

A: Explanation of the answer is as follows

Q: How many solutions does x^2+bx=c have if c< -(b/2)^2?

A:

Q: If f is one-to-one and f( – 3) = 12, then f-'(12) and (f( – 3))¯

A:

Q: 5. If f(x) = 2 x + 3 a) f-¹(g(x)) and g(x) = 21, find b) the domain and range of f-¹(g(x))

A:

Q: 5. Differentiate each of the following functions: a) (x+1)³(x-2)4 b) In x+1

A:

Q: The domain of the function 11x + 7 is I - 3 f(z) = %3D

A:

Q: known that the points (4, 7), (8, 11) and (14, 18) are on the graph of the function y = f(x). It is…

A: Given: (4,7),(8,11) and (14,18)   are on the graph of y=f(x)

Q: Let f(x) = 5x - 2 and g(x) = 2- x^2. Find the following. A) g(f(3)) B) f(g(x)) C) ff(x))

A:

Q: Let f(x) = Vx +7 and g(x) = x +3 a) Find (2) (2) show work. b) Give the domain of the function (-)…

A:

Q: Consider the function f(x) = 2x - 1/ x+3…

A:

Q: Suppose f is a 1-1 function and f-1 (4) = 7.  a) What is f(7)? b) Evaluate (f^−1 ∘ ?)(5). c) If…

A:

Q: The graph of function f(x) = 5x – 7x² – 8 is concave - downward on

A: For the given Function  f(X) is concave downward on (-∞, 7/15)  So none of the options is correct.

Q: Let f(x) = x^2 and g(x) = 2x + 1. Simplify the following : i) (f + g)(4) ii) (f ◦ g)(x) iii) (g ◦…

A: We will simplify the following.

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: