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: Evaluate f(g(3)) if f(x)=6x−4 and     g(x)= x2

A: We find g(3) by plugging x=3 in g(x)

Q: The derivative of f(x) 4 (x2 + 3x) is O -4x3 (2x + 3) -4x 2(2x + 3) 4 O 4a-2(2x + 3) 4.x + 12

A:

Q: Let f(x)=x+4 and g(x)=x2−x (f+g)(5)=  Simply your answer

A: It is given that fx=x+4 and gx=x2-x.

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

A: fx=x+5 ;   gx=x-5

Q: Determine the solution explicitly of the following differential equation x(y^2) y' -(y^3) =1

A:

Q: Find f(10). f(x) = x2 -7x + 15

A:

Q: let g(x)=4x-2 g(a-5)

A:

Q: 2x – 3 Зх + 1 If f(x) and g(x) find (g – f) (x). %3D X - 4 x - 3

A: Given functions: fx=2x-3x-4gx=3x+1x-3

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: -1), (c) f(0), (d) f(3), and (e) f(5). 3x f(x) = if xs -1 x-2 if x> - 1 (a) (-4) =D

A:

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: F(x)=8+2x

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

Q: f(x)=2ex-x2

A: fx=2ex-x2

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: Find (f o g)(5) and (go f)(5). f(x) 3x-1; g(x)= x2 -3 (f o g)(5) =

A: Given functions are,

Q: Let f(x) = 5x –- 3 and g(x) = x2 – 6x + 2. Then (f o g)(x) = (go 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 + 6 and g(x) = -6, %3D (a) f(g(x)) = (b) g(f(x)) = (c) Thus, g and f are functions.

A:

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

A: