Find (f o g)(x) and (g o f)(x) and the domain of each. f(x) = x + 23, g(x) = x – 23

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: Given f(x) = 3x - 4 and g(x) = x2 - 2x + 6, find (g ∘ f )(1).

A:

Q: If g(x) = x2 + 3x - 1, find g(1), g(-1), g(3), and g(-4).

A: The given function is, gx=x2+3x-1. The objective is to find the values of gx at the points x=1, -1,…

Q: Given that g(x) = x² – 3x – 7, find (g o g)(- 3).

A: To find the following expressions

Q: 3x² Find f'(x) given that f(x) = Vx² + 2x -1

A: Given: f(x)=3x2x2+2x−1f'(x)=? Let, y=3x2x2+2x−1dydx=?

Q: Given that f(x) = x² + 6x – 40 and g(x) = x +10, find f(x) + g(æ) and - express the result in…

A:

Q: Let f (x) = 2x + 4 and g(x) = 2x - 6. Find (a) f 1x2 + g1x2, (b) f 1x2 - g1x2, (c) f 1x2 g1x2, and…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: find the range values of B for which  x2 + 4Bx + B to be positive for all real values of x

A: To find the range values of B for which  x2 + 4Bx + B to be positive for all real values of x

Q: Let h(x) = 3x² + x -x² + 3x - 3 what is h' (2)?

A: We need to find out h'(2).

Q: Given that f(x)=x^2+2x-8f(x)=x2+2x−8 and g(x)=x+4g(x)=x+4, find (f-g)(x)(f−g)(x) and express the…

A: Given ,fx=x2+2x-8gx=x+4

Q: the functionf and g are given by f(x)= x – 1 and g(x) = x², then D, =

A: Answer and explanation is given below....

Q: Find the Values of X for which f(x)=g(x0). f(x)=x2+2x+1, g(x)=17x-15

A:

Q: f(x)= (x2 -4x)/(x-4) g(x)=x is it true f=g?

A: Given,

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: The functionf and g are given by f (x) = 3e2x and g(x) = 2 In(5x +1)

A: f(x)=3e2x g(x)=2ln(5x+1) fog(x)=f(g(x))=f(2ln(5x+1)) =3e2.2ln(5x+1)

Q: Find the values of x for which f(x) = g(x), where f(x) = x2 + 6x − 24 and g(x) = 4x − x2.

A:

Q: Find real values of x for which f(x) = 0. f(x) = 15 − 3x

A: Given: fx=15-3x To find the real values of x for which fx=0. Solution: Put fx=0 and then solving for…

Q: .If f(x) = 2x+7 and g(x)=3x, find for f(x)+g(x)? O5x+7 O5x-7 O6x+7 O6x-7

A:

Q: Given f (x) =-7x - 8 and g (x) =x², %3D (a) Find (f °g)(x). (b) Find (g of)(x). (c) Is (f °g)(x)= (g…

A: Given- fx=-7x-8 and gx=x2 To find- a-fogxb-gofxc-is fogx=gofx ?

Q: For g(x)= 4x – 2, find g(8) and g

A:

Q: If f(x) = x2 - 3 and g(x) = 2x + 1, then what is f o g(-13)? %3D

A: We first plug x=-13 in g(x) Then plug x=-25 in f(x)

Q: Find (a) the domain of  f and (b) f-1 and its domain.   f(x)  = √ (3 -e2x)

A:

Q: Given that f(x)=x^2+3x-70f(x)=x2+3x−70 and g(x)=x-7g(x)=x−7, find (f-g)(x)(f−g)(x) and express the…

A: Given,

Q: Given that f(x) = x² – 3x - 18 and g(x) = x – 6, find f(æ) + g(x) and express the result in standard…

A:

Q: Given that f(x)=x^2+3x-70 and g(x)=x-7, find (f-g)(x) and express the result in standard form

A:

Q: Find real values of x for which f(x) = 0. f(x) = x2 − 81

A: Find real values of x for which f(x) = 0.

Q: f(x) = 7 - 7x, Find f + g. g(x) = -3x + 7 O 4x O -4x + 14 -3x + 7

A: The given functions are: fx=7-7x and g(x)=-3x+7

Q: Find all values of x by satisfying the given conditions. f(x) = 2x - 5, g(x) = x2 - 3x + 8, and (f ∘…

A: Consider the given functions, fx=2x-5gx=x2-3x+8 the function composition is defined as applying one…

Q: given: g(x)= 8x^2-x^3 Find G'(a)

A:

Q: Find all real values of x for which f(x) = 0, where f(x) = x2 − 16.

A: Solutions of an equation f(x)=0 are called zeros of the function. A degree n polynomial has at most…

Q: Given f(x)=1x+3 and g(x)=9x+2, find the domain of f(g(x)) Domain:

A:

Q: C. f(x)=x³ (4-x)

A:

Q: If g(x) = , what is g'(x)? 2x-1 x²+3x '

A:

Q: for g(x)=24x3+24x26x and k(x) = 8x3+1, find an equation of k/g, evaluate  (k/g) (-1) (k/g)(x)=…

A: Given that,  g(x)=24x3+24x2+6x  and k(x) = 8x3+1. By using the definition of f/g, fg(x)=f(x)g(x), if…

Q: Find the value of c so that the domain of f(x) = √c - x² will be [-5,5].

A: The function f(x)=c-x2 has the domain -5,5

Q: 2-2x find (fif) G) to use f Cx) = x

A:

Q: Find the domain of the function: g(x) = (3x + 2) / x2 - 2x - 3

A: gx=3x+2x2-2x-3 The domain of given function is the set of all values of x for which denominator is…

Q: Given the functions g(x) = 5x - 2 find g-1(x)                                               4x + 3

A:

Q: Use f(x) = x²-x, g(x) = 9– 2x, and h(x) = x² + 2r-63 Find (g f)(x)

A: Given: f(x)=x2-xg(x)=9-2xh(x)=x2+2x-63 The objective is to find leading coefficient of the function…

Q: Given that f(x) = 4x+9 and g(x)=x°, find (fo g)(-5). (fo gX-5)-

A:

Q: for g(x)= 18x3 + 12x2+ 2x and k (x) = 27x3+ 1, find an equation of K/g, evaluate (k/g)(-1) (k/g)…

A:

Q: The domain of the function f(x, y) = In(-x² -+1) is: 4 x² + 4 x² + y? > 4 1 x² + y2 <4

A: See the attachment

Q: Given that f(x) = 3x + 3 and g(x) = x² - 2x – 3, find (g o f)(7).

A: To find the following expressions

Q: f(x)=2x−10 and g(x)=x^2+3x+14 What is the quotient of f(x) by g(x?

A: Quotient of f(x) by g(x) is:

Q: Let g(x) = 2x2 + x. Find a so that g(a) = 28.

A: We have to find a such that gx=2x2+x and given function is: ga=28 Finding ga: Putting x=a in gx, we…

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  &amp;  gx=x+2 Now, f1=31-2=1=1 f-1=3-1-2=-5=5

Q: Given g(x) = 2x + 5, find g(1).

A: Given that: g(x)=2x+5

Q: Q3:a\ -7)(x) = g(x) f(x)' If f(x) = 1, g(x) = 1 + √x. Find the domains of (1)(x) =

A: Topic:- function       Definition :-  The domain of a function is The set of input values where for…

Q: Given f(x)=2x-4 and g(x)=x2+7x+2, find: fg(-4) - g(2)

A: Given  fx=2x-4gx=x2+7x+2 The product of two functions are given by fgx=fx·gx So…