f(x) = x  divided x+9 g(x) = x7   find f(x) + g(x) , f(x) - g(x) , f(x) . g(x) , f(x) divided by g(x) , f(g(x)) ,  g(f(x))

Q: (a) Find f(g(2)). (b) Find g(f(2)).

A:

Q: f(x) = 4x, g(x) = x4 (a) f ∘ g (b) g ∘ f (c) g ∘…

A: function composition (f o g)(x) = f[g(x)]

Q: f(x)= (x2 -4x)/(x-4) g(x)=x is it true f=g?

A: Given,

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: f(x)=x2-5x-4 f(x+a)= ?

A:

Q: F(x)=3x2-3x g(x)=-4x-3 Find f(-2) and g(4)

A: Given f(x)=3x²-3x, g(x)=-4x-3 To find f(-2) and g(4)

Q: (g(x))=6(x6+9)3 g(x)=x6+9 what is f(g(x))

A: I am going to solve the problem by using some simple algebra to get the required result of the given…

Q: f(x +h) - f(x) For f(x) = - 4x - x- 2, find f(x+h) - f(x) h

A: The function is given by fx = -4x2-x-2 To evaluate: The expression of fx+h-fxh

Q: Let f(x) = 3x + 4 and g(x) = -8x + 5. (a) Find f(x) + g(x). (b) Find f(x) – g(x). (c) Find f(x)g(x).…

A: We have to find the value of   f(x) +g(x)  and f(x) -g(x) ,and f(x)g(x)  andf(x) /g(x)

Q: if f(x) = 3x-5 , g(x) = 4-x2 then find the values of  f(f(2)) and g(g(3))

A:

Q: g(x) = (x − 2)(3x + 1)(x + 4); only power rule

A:

Q: f(x) = x² – 5x + 2 f(x + Ax) – f(x) Ax

A: Given : f(x) = x2 - 5x + 2  To find : [ f(x+∆x) - f(x)] / ∆x = ? Here , ∆x is very small . So, (∆x)2…

Q: Evaluate (fo g)(x) or f[g(x)] f(r) = 4x² + x + - 3 g(x) = 5x 5 (f o g)(x) = f[g(x) = %3D

A: Evaluate (f•g)(x) or f[g(x)] We apply going to apply here method of composite functions

Q: Let f(x)=x2−2xf(x)=x2−2x and g(x)=3−x2g(x)=3−x2.   (f+g)(7)=(f+g)(7)=  help (numbers)…

A: The functions are f(x)=x2-2x   &    g(x)=3-x2

Q: find (a) (f + g)(x), (b) (f - g)(x), (c) (fg)(x), and (d) (f /g)(x). What is the domain of f /g? i.…

A:

Q: f(x)=x2+2 and g(x)=2x+3 f(g(x))=  g(g(x))=

A:

Q: g(a)=-2a+5 f(a)= 3a +5 Find (2)(a)

A: As per our answering guidelines we are allowed to solve only one complete question. Kindly repost…

Q: f(x) = 4 − 2x/(x + 1)(x + 3)(2x + 1) = A/(x + 1) + B/(x + 3) + C/(2x + 1) find the values of A,B,C

A:

Q: f(x) =x2-2   g(x) = 2x+1   Find (f-g) (4) For each pair of functions perform the indicated operation

A: Given that

Q: F(x) =7-8x, g(x)=-4x+8 Find (f+g)( x)

A: Given f(x)=7-8x and g(x)= -4x+8 To find (f+g)(x)

Q: Find f(x) and g(x) such that h(x) = (f o g)(x) and g(x) = 6 – 2x. h(x) = (6 – 2x)3 - 6(6 – 2x)² +…

A: We have given function as  h(x)=(6-2x)3-6(6-2x)2+5(6-2x)-1 h(x)=(f∘g)(x)   g(x)=6-2x   We have to…

Power Operation

Power operation is topic of algebra in Math. It is use to represent repeated multiplication. Very big number and very small number can be easily express using power operation. Power operation is useful in many fields. In space engineering, it helps in representing the distance or size of particular heavenly body. In medical field, it is used to represent very small size. In medical field it helps to mention size of bacteria or virus. 

Exponents

The exponent or power or index of a variable/number is the number of times that variable/number is multiplied by itself.