f(x) = - and g(x) = find (f o g)(3) and (g o f)(3) %3D x+1 X-

Q: Given that f(x) = 6x + 1 and g(x) = 8 - x² , calculate (a) f(g(0)) = (b) g(f(0)) = %3D %3D %3D %3D

A:

Q: Let f(x) = - 4x- 1, h(x)= - X- 3. | Find (fo h)(4). (f o h)(4) =

A: Given  f(x)=-4x-1h(x)=-x-3 to find foh(4)

Q: Let f(x) =x²-x -5 and gx)= -8x+4. Find g(3) and f(g(3)). %3D 9(3) = f(g(3)) = %3D %3D

A:

Q: show that 1f ∘ g2 (x) = 1g ∘ f2 (x) = x.

A: fx=x+5 ;   gx=x-5

Q: find h(1) = 1 + h(-1), h(2), h(+), h(x – 1), h

A:

Q: (4x +7)(5– 2x) f(x)= %3D (x-1)²

A: Given data:     The expression for the function is: f(x)=(4x+7)(5-2x)/(x-1)2.   The expression for…

Q: Find (g x f)(10) when f(x) = x - 1/3 and g(x) = 2x + 3

A:

Q: If (f o g)(x) = 6x - 3 and g(x) = 3x - 2 then f(x) = ?

A: Topic:- function

Q: Given the functions f (x) = 3x - x.g(x) =7,h(x) = 9z, find gof(z) O gof(x) = 3-7 O gof (x) = () (322…

A: Composite function is a function in which there are more than one function and value of one function…

Q: Let f(x) = 4x – 5 and g(x) = 3x² – 4x + 4. %3D %3D (a) Find f(g(4)). (b) Find g(f(4)).

A:

Q: Let f(x) = - 9x + 12 and g(x) = x2 + 6. %3D Find f(5) + g(5).

A: Given that f(x)=-9x+12.       and g(x)=x2 + 6 find f(5)+g(5)

Q: If f(x) = 2x - 5x + 2 and g(x) = x² – 2x + 3, find (f - 8)(x) and (f – g)(3). %3D

A: Given: fx=2x2-5x+2gx=x2-2x+3 To Find:  f-gx=? and f-g3=?

Q: If f(x) = x2 + 9 and g(x) = x2 + 12, find (g f)(x). %3D %3D

A:

Q: Find g(f(g(-3)) given that f(x)=4x+3 and g(x)=x-2.

A: Solution :  Given that the functions  f(x) = 4x+3 g(x) = x-2

Q: 5/A) Find for the function dx V2x - 3 (x+ 2 y =- V3x - 2 Find the Domain of the following function x…

A: We have  y=2x-3x+223x-23 differentiate with respect to x dydx=ddx2x-3x+223x-23

Q: Let f(x) = 3x – 6 and g(x) = x² – 3æ + 7. Then (f o g)(x) = (g o f)(x) =

A:

Q: nd f(x) and g(x) suc 4 %3D

A:

Q: If f(x) = - 9x - 6 and g(x) = 4x + 8x + 7, find g(f(3)). %D

A:

Q: Let f(x) = 5x +1 and g(x) = X-1 Simplify the expressions f g g(f(4)), and g(f(x)). ...... g(f(4)) =…

A: The objective of the question is simplify the composition function at given point.

Q: Find 3[g(4)] if g(x) = -2x + 10 %3D

A: Given: gx=-2x+10 To find: 3g4

Q: If f(x) = x - 3 and g(x) = x² + 4, simplify (f g)(x).

A: We know, (f∘g)(x)=f{g(x)} Gvbhj

Q: 1 Let f(x) and g(x) = 4x + 5. - 4 | Then (f o g)(6) (f o g)(x) =

A: The solution is given below :

Q: Let f(x) and g(x) = 2x +9. %3D Then (fo g)(1) (f o g)(x) %3D

A: Substitute g(x) for x in f(x) to get (f o g)(x). This also means: (f o g)(x) = f[g(x)] Substitute…

Q: If f(r) = x? and g (r) = 1+2, then find f (g (x)) and g (f (1)). %3D

A:

Q: Find the following for the function f(x) = 3x2 + 2x- 4. (a) f(0) (e) - f(x) (b) f(2) (f) f(x + 3)…

A: The given function is f(x)=3x2+2x-4