Express the function G in the form f∘g. (Enter your answers as a comma-separated list. Use non-identity functions for f(x) and g(x).) G(x) =  x2 x2 + 8 (f(x), g(x)) =

Q: Letf(x) = 2x - 5g(x) = 4x - 1h(x) = x2 + x + 2.Evaluate the function f(g[h(1)]) without finding an…

A: The given functions are To solve the function First find the value of h(1)

Q: let f(x) =4x+3 and g(x) =5x-2. find the function. f-g

A: Topic:- function

Q: Determine the domain of the function f (x, y) In(3-y) 4- x2 – y2°

A: Given function is f(x,y)=ln(3-y)4-x2-y2 Domain is the set of values for which the function is real…

Q: Use the functions f(x) = x+4 and g(x) = 2-x to find gof -1 %3D

A:

Q: The domain of the function f(x) = v2x- 3 is -) a) b) c) (-0,2] d) (-0,3] b d. a O c

A:

Q: Let f(x)=x2+2x-1 and g(x)=2x-4. Find 3f(x)-2g(x)

A: Given fx=x2+2x-1 & gx=2x-4 To find 3f(x)-2g(x):

Q: For the functions f(x) = - 4x+1 and g(x) = 2x-x+5, find g(f(- 2)). %3D %3D (f(-2)) = %3D

A: A composite function is created when one function is substituted into another function.  f∘gx =fgx

Q: Find f + g, f - g, fg, and f/g and their domains. f(x) = x2 + 2x,    g(x) = 3x2 - 1

A: Given functions are fx=x2+2x,gx=3x2-1. f+g=x2+2x+3x2-1=4x2+2x-1 Domain of f + g is -∞,∞.

Q: Use synthetic substitution to find f(2) and f(- 1) for each function. f(x) = x ^ 4 - 3x ^ 3 + 2x ^ 2…

A:

Q: let f(x)= x2-3x-54/x2-1 and g(x)= x2+5x-6/x2+2x+1 find and simplify (f/g)(x)= ?

A: We can solve this as follows:

Q: If f(x)= 3x2-5x+2, Find f'(x) ALGEBRAICALLY

A: We have to find f'(x) algebraically.

Q: The zeros of a function fx) are 3 and 4, while the zeros of a second function g(x) are 3 and 5. What…

A:

Q: Determine algebraically whether the function 5x f(x) x - 9 is even, odd, or neither.

A: Given: fx=5xx2-9 To Find: To check the given function for even, odd or neither.

Q: Find and sketch the domain for the function. f(x.y) = / (x² - 16) (y² -9)

A:

Q: Find the domain of (f + g)(x) when f(x) = 2x + 5 and g(x) = 4x - 2

A:

Q: Find the domain of the function g(x) =1/√(x - 3)

A:

Q: Use the function f(x)=3x2-5x, g(x)=6x-4,h(x)=5-x3 to find the following (h-g)(x)

A:

Q: Let f(x) = 2x - 5. g(x) = 4x - 1, h(x) = x2 + x + 2. Evaluate the function f(g[h(1)]) without…

A: given: f(x)=2x-5g(x)=4x-1h(x)=x2+x+2 the given expression is: fgh1

Q: Let f(x) = 7-5x and g(x)- 2x-3, Find g(-1/2)

A: gx=2x-3

Q: Let f(x) = - 3x +2 and g(x) = x – 4. Find the difference (g - f)(x). %3D

A:

Q: Use the functions f(x) = x − 3 and g(x) = x³ to find the value or function. (g-¹ of ¹)(-3) (g-¹ of…

A:

Q: Find the domain of the function.

A: The given equation is qx=2+x3-x.

Q: The function f is defined as f (x) = 2. -4x+5x Find f(x+3).

A: given: fx=8-4x2+5x we know that for fx+3 we put x+3 in place of x in fx

Q: Let f (x) = -3x +1 and g (x) = -2a+ 5a 1. Find f (x)-g (x) 22-5x 5x 5x + 5x D-a2 -5x + 2

A: Given the functionsf(x)=−3x2+1g(x)=−2x2+5x−1

Q: 2. Determine the function f (x) for which f'(x) ==++ 3 1 + 8x3 x-2 x2 and f(1) = 7.

A: => f(x)= ∫ f'(x)dx

Q: Let ƒ(x) = 2x3 - 4. Find a function y = g(x) so that (ƒ ∘ g)(x) = x +2.

A: To find the function y= g(x).

Q: For the function f(x)= -3x + 9 and g(x) = 4x - 1, find fg(2)

A: The composite function is created when one function substituted into another function .…

Q: Find the zeroes of the functions algebraically. x2- 14x+ 48 f(x)= 7x x = 8, x = 6, x= x= x =-8, x =…

A: Explanation of the answer is as follows

Q: Given f(x) 4 and g(x) = v3-a, find the composite function %3D x2 9. fog and its domain.

A:

Q: • The domain of f(x) = 3-x is x2 -1 %3D

A:

Q: Determine the end behavior of the function f (x) : x³ + 3x2- x - 3

A:

Q: Use synthetic substitution to find f(2) and f(- 1) for each function f(x) x ^ 6 - 2x ^ 5 + x ^ 4 + x…

A:

Q: find the domain of the function  f(x) = 1-2cosx / 1-2sinx

A:

Q: For the functions f(x)=4x3−15x2+4x+15 and g(x)=x−3, find (f/g)(x) and (f/g)(−2)

A:

Q: Find the domain of the function :             f(x) =   x2+ 3x +5              x2 - 5x +4

A: To find the domain put denominator equals to zero and solve for x.  Then domain will be the set…

Q: Let f(x) = 7-5x and g(x)- 2x-3, Find g(-K2)

A: Consider the provided function, fx=7-5x  and  gx=2x-3 Find the expression for g-k2.

Q: Letf(x) = 2x - 5g(x) = 4x - 1h(x) = x2 + x + 2.Evaluate the function (f ∘ g)(0) without finding an…

A:

Q: Find f such that f'(x)= 7x +7x-2 and f(0)= 8.

A:

Q: Let f(x) = x² + 2x - 1 and g(x) = 2x - 4. Find 3f (x) - 2g(x).

A: Solution of given question is written in below step.

Q: Find the domain of the function f(x) = (x2 - 1)/(x2 - 25)

A: To Determine: find the domain of the function  Given: we have a function fx=x2-1x2-25 Explanation:…

Q: Find the domain of the function : g(x) = 1 /(x2 + 4) -1/(x2 - 4).

A: Given, gx=1x2+4-1x2-4

Q: Letf(x) = 2x - 5g(x) = 4x - 1h(x) = x2 + x + 2.Evaluate the function g-1(7) without finding an…

A: Given : f(x) =2x-5 ,   g(x)=4x-1,  h(x) = x2+x+2Let y=4x-1 ⇒…

Q: Algebraically determine whether the function j (x) = x-3x2-4 is odd, even, or neither

A: Even function f(x) = f(−x) for all x  Odd function  f(x) = -f(−x) for all x  if function not follow…

Q: Find g(f(x) and f(g(x), if f(x) = x² -2x + 7 and g(x) = 4x -5

A: Given: Two equations fx=x2-2x+7 and gx=4x-5 gfx is given by:…

Q: Find the domain of the function f(x) = x2 -1 %3D

A:

Q: Use synthetic substitution to find f(2) and f(- 1) for each function. f(x) = x ^ 6 - 2x ^ 5 + x ^ 4…

A:

Q: If f (x) = |3x - 2| and g(x) = |x| + 2, find f (1), f (-1), g(2), and g(-3).

A: fx=3x-2  &  gx=x+2 Now, f1=31-2=1=1 f-1=3-1-2=-5=5

Q: The function f is defined by f (x) =2x-7. Find f (5x). r(5x) = 0 %3D

A: In this question we need to find a function f(5x) .  To find f(5x) we replace x by 5x in the given…

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.