Answer true or false. If L{f(t)} = F(s) and L{g(t)} = G(s), then £¹{F(s)G(s)} = f(t)g(t). O True O False

Q: 2. Given g(x) = (3x+ 2)(x- 2), determine each value. a) g(0) b) g(-1) c) g(1/2)

A: The given function,   g(x)=3x+2x-2

Q: For S = {3, 4}, find g(S) and g-1(g(S)).

A: Given that, S = {3, 4}

Q: Is the two functions h(t) and g(t), is h-1g-1 (t) = (hg)-1(t)

A:

Q: Let f(x) = x2 + 2 and g(x) = 2x - 3. Evaluate (fo g)(x). (fo g)(x) =| (Simplify your answer.)

A: (fog)(x)= f(g(x)) f(x) = x^2 + 2  g(x) = 2x - 3

Q: If g(t) = -3t3 , evaluate g(4t).

A:

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

A:

Q: If f(x) = x3 + 1, then give the following

A: Consider the function: fx=x3+1

Q: If f (x) = x3, find f (x + h) - f (x) h , where h ∙ 0

A: A function is a relation between one variable and the other variable. The input of the function is…

Q: Given two functions h(t) and g(t), is h¯1g¯1 (t) = (hg)-1(t). %3D Select one: O True False

A:

Q: 4. Evaluate the functionf(x) = x² + 1 and g(x) = x - 4. Find a. (fᵒg)(3) b. (gᵒf)(1)

A:

Q: · Let f(x) = 8x? and g(x) a. Find (f+ g)(x). b. Find (f – g)(x). c. Find (f g)(x). d. Find (스) (x).…

A:

Q: Evaluate the indicated function for f(x) = 6x +3 and g(x) = 5x² − 1 a. (f + g)(3) b. (fg)(0)

A:

Q: Suppose f (t) = t +5 and g(t) = t2 +10 . Find the expression for ( f g)(t) and hence determine…

A:

Q: 1. Use forward and backward difference approximations of O(h) and a centered difference…

A:

Q: If f(x) = 2x2+x +1, and g(x)=x is an identity function then (f + g)(1) = O a. - 4 O b. -8 O C. 4 O…

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: If f(x) = 2x + 1 and g(x) = x², Find g(ƒ(3)) a. 49 b. 19 a O b O O d C. d. 7 13

A: To find the value of the composite function g(f(x)) at x =3.

Q: f(x)

A: