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

Q: Let f(x) = 3x + 4 and g(x) = -2x – 3. What is (f o g)(x)?

A: We have to solve

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

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

Q: [f(a)]² =

A:

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

A: Given that

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: -1 t² Vta 6 dt

A:

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

A:

Q: Determine Dx[x(x-2)²]

A:

Q: Let 7 (t) = Find 7 (t) デ'(t) =D<

A: r'(t) =d(r(t))/dt

Q: Is f (x) = ( ½) x increasing or decreasing?

A: Given: fx=12xIncreasing Function:    If  f'x&gt;0  for every x on some interval I, then fx is…

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

A: f(x) = x2 + 3

Q: EX:- Find the F.I. of (f(t)) sgn (t) =

A: ft= sgntft=1if x&gt;00if x=0-1if x&lt;0 The signum function can also be represented as…

Q: [22] Express the function as a product by factoring the right-hand side: f(x)= x' +x² – 4.x - 4.

A: We have to express the given function as a product by factoring the right hand side: fx=x3+x2-4x-4…

Q: x(t-1) * 6[t+1] equals x(t+a) where a equals. Answer:

A: Given, x(t-1)* del(t+1) = x(t +a)

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: 4a+ax/x)=f a=

A:

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: [cx)= (x+1) 「cx)-(x_)[cxー1) (xー1)「cx-1) [(-x)= [(1-x) |

A: Γ(x)=∫0∞tx-1e-tdt  for x&gt;0Γ(x+1)=∫0∞txe-tdt =-txe-t0∞+x∫0∞tx-1e-tdt=xΓ(x)⇒Γ(x)=Γ(x+1)x Now,…

Q: Let f(x) = V9 + x. Find f(3V5) ·f(-3V5)

A: Given: fx=9+x

Q: 1

A:

Q: Rir fcay> [-27x²+1}, find f (-})

A: We use the definition of the greatest integer function to find the value of f-13. The Greatest…

Q: Is (f og)(0) = (fg)(0)? Justify answer

A: