For  f(x) = 2  / x−3 and g(x)=5 / x, find the following composite functions and state the domain of each.   ​ 1):         (f◦g)(x)  =   ?   ​ (Simplify your​ answer.)   Select the correct choice below and fill in any answer boxes within your choice.     A. The domain of f◦g is    B. The domain of f◦g is all real numbers. ​ 2):    (g◦f)(x) = ? ​(Simplify your answer. Use integers or fractions for any numbers in the​ expression.)   Select the correct choice below and fill in any answer boxes within your choice.

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

A:

Q: Express the given function h(x) = √(5x2 + 3) as a composition of two functions f and g so that h(x)…

A: We will use the inner function as g(x) and the outer function as f(x).

Q: 3. If f(x) = x + 1, find f(3) and f(- 3). Is f a one-to-one function?

A: The given function is fx=x2+1

Q: Find f(x+h)-f(x)/h for the given function . f(x)=x2+8x

A:

Q: Given the function h (x) = -v2 – x, what is h (x)?

A:

Q: Express the given function h(x) = l3x - 4l as a composition of two functions f and g so that h(x) =…

A: Given :h(x) = 3x -4To express h(x) as a composition of two function f and g so that  h(x) = (f∘g)(x)…

Q: Do I just multiply the G times the F then multiply by 3? I'm confused

A:

Q: Evaluate the piecewise function at the given values of the independent variable. 5x +5 if x <0 f(x)…

A:

Q: Given  f(x) = x2 + x + 1  and  h(x) = 2x + 6,  evaluate the composite function. f[h(−1)]

A:

Q: For what value of x is the function f(x)=4/ x2-x-12 not continuous

A: Topic-continuity

Q: Given f(x) = x2 + 5x + 4, find the following. f(x + h)

A: We have given that f(x)=x2+5x+4

Q: Let two functions be f (x) = Ax +3,9 (x) = Bæ? What are the possible values of A and B if (f o g)…

A: Put g(x) in place of x in f(x) first

Q: Given f(x) = 4x – 1, a. Write an equation for f(x). b. Verify that (fof)x) = (Fof)(x) = x. %3!

A: Given that, fx=4x3-1

Q: Given y = 4 for all real values of x, Can y be regarded as a function of x ? Give reasons.

A: Given y = 4 for all real values of x To determine whether y can be regarded as a function of x or…

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: Given the one-to-one function defined by f(x) = Vx – 4 + 1- write an equation for f -1(x).

A: The given one-to-one function is To find the inverse of f(x), replace f(x) by y. Now interchange…

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

A:

Q: of the function f(x) = 3x from x, =0 to x, =7. (Simplify your answer.)

A: We have to find

Q: Given the function f(x) =4x³– 39x²+90x +2, which of the following describes its absolute extrema at…

A: Given that, The function is following, f(x) = 4x3 - 39x2 + 90x + 2 We have to find the absolute…

Q: For the given​ functions, find f o g (x) and g o f (x) and the domain of each. f(x)=1-x/4x g(x)…

A: We have to find domain and f(g(x))

Q: Find the rms of the following function: f(x) = 2x+ x², a = - 1, and b=3

A: To find the rms of the function

Q: Evaluate the piecewise function at the given values of the independent variable. 3x +4 if x<0 f(x) =…

A:

Q: Find the indicated composite for the pair of functions. Given f(x) = *-* and g(x) = 5x + 6, find (g.…

A: NOTE: Refresh your page if you can't see any equations. . given functions are

Q: Find and simplify the difference quotient f(x) = 1 3x f(x+h)-f(x) h -, h#0 for the given function.

A:

Q: What is the value "L", if exists, when a variable "x" in f(x) approaches a certain number "d" in the…

A: Given: A function fx is given. To Find: What is the value "L", if exists, when a variable "x" in…

Q: e following three functions will be largest for large values of x? (A)f(x)= x2 (B)r(x)= 4-x…

A: GIVENf(x)=x2,r(x)=4-x,h(x)=x16

Q: Given  f(x) = x2 + x + 1  and  h(x) = 3x + 2,  evaluate the composite function.

A: Given that, f(x) = x2 + x + 1  and  h(x) = 3x + 2   By using the definition of a composite function,…

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: For the function f(x) = x2 + 3? and ℎ ≠ 0, evaluate (f(a + ℎ) − f(a))/h

A: f(x) = x2 + 3

Q: Calculate the output for the function with he given input. If there is no possible output for the…

A: The given function isfx=xx-1. Here function fx is not defined if x-1=0. x-1=0x=1 So, the function is…

Q: For the given​ functions, find ​(f◦​g)(x) and (g◦​f)(x) and the domain of each. f(x)=4x+1​, g(x)=…

A:

Q: For the function f (x) = V8 (x – 1)*, find f-'(x).

A: Given query is to find the inverse of the function.

Q: Find f′​(x) and find the equation of the line tangent to the graph of f at the indicated value of x.…

A:

Q: For the function f(x): X-6 find T (x), the third derivative of f, and f(4)(X), the fourth derivative…

A: Given that:f(x)=x-2x-6To find f'''(x) and f(4)x

Q: Next, differentiate the given function y = X 8x + 37 and write as a single fraction completely…

A: Derivative of function

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

A: Given that, The function changes concavity at the inflection point. To find inflection point, solve…

Q: Find f if f ' (x) = e x  + 20 ( 1 + x 2  ) -1  and f (0) = -2

A:

Q: - If f'(x)=3x² 2 and f (1) = 4, find f(e).

A:

Q: Find the inflection point (x,, f(xp)) of the following function: f(x) = 3x³ + 9x² – x + 11. If - an…

A: Given : f(x) = 3x³ + 9x² - x + 11

Q: For the given function, where is it concave up and concave down? Give your answers in interval…

A: Concavity of the function using second derivativetest

Q: Suppose the units of f(x) are square meters, when x is measured in persons. The units of f'(x) will…

A: Given, The units of fx are square meters, where x is measured in persons We have to find the units…

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

A:

Q: For what values of x is the function f(x)=x4−2x2 strictly increasing?

A:

Q: Express the function h(x)=1x+7 in the form f∘g. If g(x)=(x+7), find the function f(x)

A: Given,

Q: If f(x)=1+x /x, for which value of x does f(x)=5?

A: Given function f(x)=x+1x

Q: find the difference quotient of f(x)=x^2. that is find f(x+h)-f(x)/h for h=0. Simplify so that H is…

A:

Q: 11. Find the difference quotient for the function f(x)=(x+1), then simplify.

A:

Q: Given the function f (x) = 5x + 2x², express the value of en-1e in simplest f(x+h)-f(x) form.

A: Simplification.

Q: Evaluate the piecewise function at the given valuesof the independent variable. f(x) = { 5x+3 if x<…

A: Given piecewise function is  f(x) = { 5x+3 if x&lt; 0            { 4x+7 if x ≥ 0 We have to find…

Q: Given the function f"(x) = -2x(x – 4)(x – 6), what conclusion can be drawn directly from the sign…

A: The given double derivative function is f"x=-2x3x-4x-6.

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.