Determine algebraically whether the functions f (1) = 6x – 9 and g(x) = x+9 are inverses of each other. 6.

Q: 16. For the function g(x) = x² + x – 1, find and simplify: 9*+h)-g(x) h

A:

Q: Determine (algebraically) whether the given function is even,odd,or neither.

A: To determine (algebraically) whether the given function is even, odd, or neither. f(x)=x1+x2

Q: determine the indicated functional values. If f (x) = |4x - 5| and g(x) = x3, find ( f ᵒ g)(-2) and…

A: Given: f(x)=4x-5 and g(x)=x3

Q: Show that the function is the inverse of the other: f(x) = 3x + 2 and g(x) = (x - 2) /3.

A:

Q: 11. Find the inverse of the function f (x)= 3x – 2 4x + 5

A: The solution are next step

Q: 10. Determine whether g(x) = 3x – 6 and f(x)= x+2 are inverse functions. 3

A: we have to determine whether g(x)=3x-6  and f(x)=13x+2 are inverse functions.

Q: a. Find the inverse of the function ƒ(x) = mx, where m is a constant di«erent from zero.b. What can…

A: To find :   a) The inverse of the function f(x) = mx, where m is a constant different from…

Q: Determine h(x - 1) for the following function. - 3x h(x) = x2 - 2x-3 %3D

A: Given function is

Q: 2. Verify that f has an inverse and find (f-1)'(c) f (x) — 1 — 2х — х3, с — 4 [Hint: Find f1(4)…

A:

Q: Locate the discontinuities of the function. 2 f(x) = 1 + e7/x

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Q: Differentiate the expression with respect to x, assuming that y is implicitly a function of x.…

A:

Q: 2. The inverse of one-to-one function f(x) = 4(3"-) is

A: Given : fx = 43x-1

Q: 15. Find the difference quotient f(x+h) – f(x) for the function f(x) = -x² + 2x +1. h

A: The given function is fx=-x2+2x+1To find difference quotient fx+h-fxh

Q: What is the inverse of the function of g(x) = x^3

A:

Q: Find the inverse function of f.

A: f(x)=2+3+x

Q: 13. Find the inverse of the function f(r) (r+ 2)-3.

A: The given function is- fx=x+23-3 Since, fx=y y=x+23-3y+3=x+23x+2=y+313x=y+313-2

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

A:

Q: Determine the new value of the function f(x) =x+ Inx if the independent changes from x=2e to x=2.2e

A: Given f(x) = x + ln(x)Value of function at x = 2ef(2e) = 2e + ln(2e) = 2e+1+ln2

Q: Consider the following two functions: In(x + 3) and x 0.4 Which function dominates as 0.4 0.4 00?…

A: Given that: Two funcitons: ln(x+3) and x0.4

Q: Find the inverse of the function on the given domain. f(x)= (x-9)^2, [9, infinity) f^-1(x)=

A:

Q: Express the function h(x)=1x−9h in the form f∘g. If g(x)=(x−9), find the function f(x).

A: Topic = Functions

Q: Jan 27, 10:06:00 AM Find the inverse function of the function f(x) = (3x)3 on the domain a > 0. of…

A: We have to find out inverse of function

Q: Find the inverse of the function on the given domain. f(x)=(x−18)2, [18,∞)

A: Given,          fx=x-182  , [18,∞)

Q: What is the inverse of the function 4x-1? f (x) = 1? 2(x+1) O f-1 (x): = 4 2x+1 O f-1 (x) 4 4(x+1) O…

A:

Q: a. Find the inverse of the function ƒ(x) = mx, where m is a constantdifferent from zero.b. What can…

A:

Q: (a) Find a formula for the inverse of f(x) = Vx – 3

A: On solving this we will find inverse function and domain that will be

Q: Which of the following describes the end behavior of the function f(x)=√x −4 on the right?

A:

Q: Find the inverse of the function f(x)=4x^2-9 with domain x less than or equal to 0. f^-1(x)=

A: We have to find inverse of f(x)  in given interval .f(x) and interval is given by:

Q: Find a formula for the inverse of the function. y = e2 - x %3D

A: Given: y = e2-x

Q: The inverse of the function f: R - R defined by f (x) = x2- is

A:

Q: does y=e9-x2-2 exist? whaet is the domain and range of the function if exists

A: Consider  y=e9−x2−2

Q: 3 5. Determine the inverse equation of the function f(x) = 3(x - 20) + 1

A:

Q: 1 g(x) 5 at x = 3 3

A: given function            g(x)=15.13xat x=3substitute x=3 in the given function

Q: Find the inverse of f (x) = x +b, where b is constant. How is the graph of f related to the graph f.

A: Inverse of functions return its original value for which a function gave output

Q: Find the inverse of the function. f(x) = 3+ Vx - 9 f-(x) = (x-2 + for x2

A:

Q: (5) For the functions f(x) 3 and g(x) ==+ 4, find f(g(x)) and g(f(x)), hence or x- 4 otherwise…

A: As two questions are given, I will solve only the first question: Question 5: Given : f(x)=3x-4 and…

Q: 7) Find the inverse of the function g(x) = x² + 2x,[-1,0)

A: Simply replace the x by y and f(x) to x and solve the new equation for y.

Q: 1.) fex) =x3 -x²+4x +2 2.) FCxS= -x3+ Sx-2 %3D

A:

Q: What is the inverse of the function f(x) = 3(x + 2)²-5, such that x < -2? OF-¹(x)=-2+. 3 5…

A:

Q: 2) a. Find the inverse of the function f(x) = -8x + 17 %3D

A: From the given information, Consider, f(x) =Y Whereas,  f(x) = -8x +17 Thus, the inverse of can be…

Q: What is the inverse of the function f(x) In(5x 2) for {x: x E R |x > 0.4}?

A: According to the given information, it is required to find the inverse of the given function.

Q: 1.(a) Determine the inverse of f(x) = (x + 2)2- 3

A: Inverse of a function

Q: Find the inverse of the function on the given domain.   f(x)=(x−15)2, [15,∞)

A: To find the inverse of the given function.

Q: Find the inverse of the function on the given domain. f-1 (x) = f(x) = (x - 18)2, [18, ∞)

A: Inverse of function f(x)=(x-18)2 . In the interval [18, infinity) is  f-1(x)= 18+sqrt(x)

Q: For the function f(x)=3x", evaluale : f(Xth)=

A: F(x) = 3x2 , put x = x+h                                                            F(x+h) =3(x+h)2…

Q: . Let f (x) = x* + 3x – 2, and let g(x) denote the inverse of f. Then g'(2) is equal to:

A:

Q: Evaluate the piecewise function at the givern values of the independent variable 5x+3 if x<0 f(X) =…

A:

Q: . Find the inverse of the function f (x) = x+5 a) f-1(x) = 3x +5 b) f-1(x) = 3(x – 5) c) f-'(x) = 3x…

A:

Q: 2 +2 The inverse of the function f(x)= :² – 2 is

A: Let,…