f(x) 3 f(g(0)) = 2 3 9(f(4)) = -1 4 5 g(x) f(f(2)) g(9(5)) = %3D 3-

Q: Given that f(x) = x-10x and g(x) = x + 11, find %3D (a) (f + g)(x)= (b) (f – 9)(x)= (c) (fg)(x)= (d)…

A:

Q: Find (f + g)(x) if f(x) = 2 m and g(x) = 3/4m %3D (f+ 9)(x) = -4 m O (f + 9)(x) = -7 /m O (f + g)(x)…

A:

Q: 2x + 3, if For f(x) %3D (3x²- 11, if 17) f(5) = 18) 3f

A:

Q: Given that f(x) = (x - 3) and g(x) = 1 – 5x, find %3D (a) (f + g)(x)= (b) († – 9)(x)= - (c) (fg)(x)=…

A:

Q: f(3) = 2, f(5) = 4, g(2)=5, and g(4) =3. What is the value of g(f(5))?

A: We have to find the value of gf5 where it is given that: f3=2, f5=4, g2=5, g4=3. Here, f5=4…

Q: Given f(x) = x² + 3x + 9, find the following. HINT %3D (a) f(0) (b) f(1) (c) f(-1) (d) f(-3) (e)…

A:

Q: 2) f(x) = -5x² + 3x -7, find: f(x + h)- f(x)

A: According to the problem, we have

Q: # 8 If f(x) = 2x2 + 3 and g(x) = - 3x - 6, find f(x) g(x). %3D es 4) A) 6x3 - 12x2 - 9x + 18 B) 6x3…

A: solution:-.

Q: Suppose that f (x) =2x² – x+4 and g(x)=4x+1 2(4x+1° ( )4 %3D a. fog)(-1) 3 b. = 3 g(f(-2)) = 3

A: We will use composition of two function to find required value of function at given points

Q: -2 if x 2 Find h (-4), h (1), and h (2).

A: GIVEN : h(x)={  -2                             if x<-2  -(x+1)2 +1            if -2≤x<2  -14x…

Q: f (#) = 2x-3 and g () = ; then (f – g) (z) = %3D %3D Das- 9) (z) = 2 5 | b(f- 9) (x) = 2x2-3x-2 2x…

A: Given query is to find the value of indicated function.

Q: Given f(x) = 2x² + 1 and g(x) = 4x – 5, find the following. %3D (a) (g(2)) (b) f(g(x)) (c) g(f(x))…

A: Given: f(x) = 2x2 +1;   g(x) = 4x-5(a)…

Q: (a) g (x)=x-9 8(5) = %3D 8(-3) =

A:

Q: :) is one-to-one and f(11)=-9, then f(-9) = (f(11))-l =

A:

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: If f-1(15) = 3, Which of the following can be f (x)? a) f(x) = V5x +1 b) f(x) = 7x -5 c) f(x) = x3 -…

A: We will use concept of function and inverse function.

Q: Find (go f)x f(x) = x² g(x) 2x-5 O x2-5 O 4x2-5 O 4x²+25 O 2x2-5 Question 10 f(x) = 10x - 7 g(x) =…

A: We will solve the following

Q: Suppose 3x2 – 3x + 8 - f(x) : x (x2 + 4) Then A f(x) Bx + C | x² + 4 where A = and B %3D , and C =

A:

Q: X If f(x) = /x, g(x) = 3 and h(x) = 3x + 9, find f(g(h(x))). |

A: Given the functionsf(x)=x,g(x)=x3 and h(x)=3x+9

Q: Suppose ​f(x)=​2.7(x−​2015)+35 models a situation where x represents a year. If we would like to…

A:

Q: Given that f(x) = x2 – 10x and g(x) = x + 11, find %3D (a) (f + g)(x)=| (b) (f – g)(x)= (c) (fg)(x)=…

A: Given thatfx=x2-10x and gx=x+11a  f+g x     f+gx=fx+gx     f+gx=x2-10x+x+11     f+gx=x2-9x+11b…

Q: 5-2x 13. f (x) = 3+2x

A: Given: f(x)=5-2x3+2xwe know that defination of derivative is…

Q: The profit function of a company is P(x) = x² – 400x + 40000, then the break-even poi is %3D

A: The break-even point point occurs when the total revenue is equal to the cost. At that point, the…

Q: f(x)%3D4×+2x2 - x³ for -5 <x s 5. |

A:

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: f(x) = 5x² + 2 %3D g(x) = x + 7 %3D f(g(-1))

A:

Q: What is (fo g)(-1) if f(x) = 2x + 3 and g(x) = ? %3D O (f o g)(-1) = O (f o g)(-1) = 2; O (fog)(-1)…

A:

Q: Given f(x) = 4x - 6 and g(x) = 2x- 3x %3D %3D find (f-g) f+g)x) , f.g), 1 (x)

A: Algebraic properties on two functions are :…

Q: (9) If f(x) = 2x +k and g(x) = (x – 5)/2, for what value of k is f(g(x)) = g(f(x))? %3D (A) 15 (B) 5…

A: