L[af(t)+ Bg(t)] = aL[f(t)] + BL[g(t)].

Q: Let p1 be the average price of MP3 players, p2 the average price of audio files, f (p1, p2) the…

A: Let p1 be the average price of DVD players, p2 be the average price of DVDs,fp1,p2 is the demand for…

Q: What is the parent function of y = −(x+2)(x − 8)? c. y=x³ d. y=x² 4 a. y = x 2 b. y=x² O A O B O C O…

A: To find the parent function of the function y=-2/3(x+2)(x-8)

Q: What is the domain and range of h(x) = x² + A ?

A: Given: h(x)=x2+A

Q: Let g(x)=31-x. Compute: a) g(2.3) b) g(2) c) g(-1)

A: Given that

Q: find h(1) = 1 + h(-1), h(2), h(+), h(x – 1), h

A:

Q: What does f (0) represent?

A: The graph of a function, f(x) is the set of points, (x, f(x)), that make the function a true…

Q: For the given functions, find (f o g)(x). f(x) = 5x + 1, g(x) = Vx (fo g)(x) =

A:

Q: x² If g(x) 4 simplify V1 + [g(x)]².

A: Given: gx=x24-1x2 To Find:  To simplify 1+gx2.

Q: [3] If f(2x+3)=4x²-2x+3, find f(x)

A: Firstly put t=2x +3 and find f(t) ,After that replace 't' as 'x'.

Q: f (x) = x-5>2

A: The given inequality is x-5>2. Solve this inequality as follows.

Q: Evaluate C(x,(x−1))

A:

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

A: f(x) = x2 + 3

Q: Let f(x)=2x+1 and g(x)=2x2-1 a. f(t+1) b. f[g(-2)]

A: Givenf(x)=2x+1 and g(x)=2x2-1

Q: What is the physical meaning of |xd(f)| and <Xd(f)?

A: The physical meaning of |x d(f)| and &lt;X d(f) will be-  |x d(f)| =   It defines (gives) the value…

Q: The mapping that transforms y = √ to y + 5 = √-2x-4 is: □ (z,y) → (22+4, y + 5) □ (z,y) → (-12-2,…

A:

Q: Composition and Inverses of Functions Suppose f(x) following. = 2x, g(x) = 3x - 2, and h(x) = x² –…

A:

Q: What happens to the value g(x) if x is tripled

A: The value of the function when the x value is changed, totally depends upon the type of function.

Q: Show that f(x) = (x16)2 has no inverse on the interval

A: Solution of the problem as follows