Find f(x) and g(x) such that h(x) = (fo g)(x) and g(x) = Vx +9. h(x) = (Vx +9) * 4 f(x) = x

Q: If  f(x) = 3x + 1  and g(x)=4/x.find f(g(x)) and g(f(x)).

A: Given f(x)=3x+1 and g(x)=4x we have to find f(g(x)), g(f(x))

Q: If f(x) = x2, find [f(x2) - f(x1)]/(x2 - x1), where x1 = 1 and x2 = 4.

A:

Q: Find f (x) g(x) , where f (x) = x x - 3 and g(x) = x + 1 x - 5.

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

Q: Let ​f(x)=4x−1 and ​g(x)=x2+ 5.   Find ​(f◦​g)(0​).

A: Composition of function is found by plugging the inner function in place of variable of the outer…

Q: Given the functions, f(x)=x2+x, g(x)=5x-4 and h(x)=3, find (f*g)(2)

A: Given:    fx=x2+xg(x)=5x-4h(x)=3 The product f . g f×gx=fx×gx To find the product of two function,…

Q: Find f(g(x)) if f(x) = (3x+1)/x and g(x) = -2x + 1.

A: Given functions  f( x ) = ( 3x + 1 )xg( x ) = ( -2x + 1 )

Q: gf(x)=x²-1, show that: 3 [ f(x) +1]= x+4+3 f(x) = f(x) X-1

A: Given function is f(x) = x2 - 1

Q: let f(x)= x2-3x-54/x2-1 and g(x)= x2+5x-6/x2+2x+1 find and simplify (f/g)(x)= ?

A: We can solve this as follows:

Q: Decompose the function y=(4-2x3)4 in the form y=f(u) and u=g(x)   use g(x) = 4-2x3

A: Given function      y=4-2x34  then  we have  to decompose  the given  function  in the form  y=fu…

Q: Define f (x) = Vx² + 1 and g(x) = 2 – x². Find and simplify (go f)(x).

A:

Q: If f(x+y) =f(x) +f(y) and f (1) =3, find f(2), f(3), and  f(4). Is f(x+y) =f(x) +f(y) for all…

A:

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

A:

Q: f(x) = /x2 + 1 x²

A: Find the domain

Q: Let f(x) = 9x +3 f f '(x) =

A: Given a function. We need to find its inverse.

Q: Let f(x) = 2x + 11 f (x) =

A:

Q: = x 2

A: