Let f (x) = x² and g (x) = 2x - 4. Find the following: (a) f(3) + g (3) = (b) f(3) g (3) = (c) (d) f(g(3)) = g (f (3)) = i i i Jl. i

Q: Find the domain of f(x) = Vx + 3 + Vx - 1.

A: Given that the function f(x) = x+3 +x-1 To find the domain of f(x).

Q: Given that f(z) = 2x – 1 and g(z) = 3 – 2², calculate (a) f(g(0))= (b) g(f(0))=|

A:

Q: Given that f(x) 13x + 10 and g(x) = Vx – 2, calculate. f(g(17)) = g(f(17)) =

A:

Q: Evaluate the indicated function for f(x) = x2 + 1 and g(x) (f - 9)(2t) = x - 5. (f – g)(2t) = 41² –…

A: Here, First, evaluate the value of f(2t). Now, evaluate the value of g(2t).

Q: If f(x) = ax -3x+1 and f(2)=7, find

A: We can find the value of 'a' .

Q: Given two functions f(x) = x² – 3x and g(x) : - = x + 13, find the following. a) f( – 2) + g( – 2)…

A:

Q: Let g(x) = - 5x and h(x) = x +3. Find (g o h)(0).

A:

Q: Let f(x) = 3x - 1 and g(x) = x? + 2. Find (fo g)(7). (fo g)(7) =

A:

Q: Find the indicated outputs for f(x) = 2x² - - 2x.

A:

Q: Given that f(x) = x? 3x and g(x) = x – 3, calculate (f o g)(x) or f(g(x))

A: Given f(x) = x2 - 3x and gx = x - 3 To find ; fgxProof :  fgx = fx - 3  = x - 32 - 3 x - 3 ⇒ fgx =…

Q: = 4, fi(5) = -1, g(5) 2, and g (5) 25. If f(5) 2f(a) 3g(x) 3, find hi(5) if h(a) =

A: Differentiate the given function on both the sides with respect to x to get an expression for h’(x);

Q: F(x)=8+2x

A: Given information: F(x)=8+2x

Q: Define f(x ) = – x² and g(x) = 5x – 3. 4+x - - Find the value of (f – 9)(-1).

A: Proceed as shown below...

Q: Let f(x) = ax + b and g(x) = bx +a, where a and b are integers. If f(1) = 6 and f(g(19))-g(f(19)) =…

A: Given query is to find the product of a and b.