If L{f(t)} = F(s), then L {test f(t)} (A) F(8-3) (8-3)²¹ (B) F(s) (8-3)²¹ (C) - F(8-3); d ds (D) F(s) (8-3)' d (E)---sF(8-3).

Q: So if g(5) 8 and f(8) 19, then (f o g)(5) = By definition, (f o g)(x) = ?

A: By definition,

Q: With f(x) = 4 – 3x and g(x) = 2x2 – 3x + 1, find: a) f(5) b) g(-2) c) f(4 – 2y) d) g(x + 4)

A:

Q: f(x) = 2x + 3 g(x) = 5x + 7 (a) fo g? (b) go f? (c) (f og)¬1?

A: Hey, since there are multiple sub-parts posted, we will answer first three sub-parts. If you want…

Q: If f(3) = 1, f0(3) = 3, g(3) = 2, and g0(3) = 4, what is ( fg)0(3)?

A: Given: f(3)=1, f'(3)=3, g(3)=2, g'(3)=4

Q: Given f (x) = 7-5x a] f-¹ (4) b] f¯¹ (-4) + f¯¹ (-3) + f¯¹ (-2) c] g (x) = f-¹ (2x) 1 determine

A: The given function .The objective is to find the following values,(a) (b) (c) .

Q: Given f(x)=2+3x-x² a) (fg)(x) and g(x)=2x-1 evaluate each of the following. b) (fog)(x) c) (gof)(x)

A: The given function is To find:-

Q: Given that f(x) = (x − 2)² and g(x) = 6 – 5x, find - (a) (ƒ + g)( − 3)= (b) (ƒ — g)( − 3)= - (c)…

A: Given function:- fx=x-22 gx=6-5x

Q: If f(x) = 3x - 5 and g(x) = x³ + 1 then g(f(1)) is a) 2 b) -2 O c) -7 Od) -124

A: f(x)=3x-5g(x)=x3+1

Q: f f(x) = 4x + 5, what is the value of fl-3)? 1) -2 (3) 17 2) –7 (4) 4

A:

Q: If f (x) = 2 – x² +x° and ƒ(a) = 2, then all possible values of a are (A) 0 and 1 only (B) 0,1, and…

A: f(x)=2-x2+x3 f(a)=2 put x=2 f(2)=  2-22+23 =2-4+8 =6

Q: 8. Find the domain of f(r):

A: Given fx=x+3x−1

Q: :) is one-to-one and f(11)=-9, then f(-9) = (f(11))-l =

A:

Q: f(x) 6||x + 8 (a) f(0) 8 (b) f(-2.2) (c) f(1) 14 3 (d)

A: The function is fx=6x+8, where x represents the greatest integer function. That is, x returns the…

Q: if g(6) = 8 and f(8) = 25, then (f ∘ g)(6) =

A: if g(6) = 8 and f(8) = 25, then (f ∘ g)(6) = Given g(6)  and f(8) values , find out the composition…

Q: If f(x) = x + r and g(x) = x + 6, evaluate each of the following. (a) (fo g)(4)= (b) (g o f)(4)=

A: Given: f(x)=x2 + x g(x)=x+6

Q: for f(x) = (x-1)3 and g(x) = 1 - 4x, find the following  a) (f o g)(x) b) (g o f)(x) c) f(f(x))…

A: (fog)(x) = f[g(x)].

Q: If h(x) = 1 (2x-9)² " and if h(x) = f(g(x)), which of these statements could be correct?

A:

Q: 2x-4 if -2sx54 If f(x) = · , find: (a) f(0), (b) f(1), (c) f(4), and (d) f(6). x-4 if 4<xs6 (0)) (e)…

A:

Q: 16) f(n) = n² – 2n; Find f(n²)

A: Solution: