Use f(x) = qx + b and g(x) = nx + v to find: (a) fog (b) gof (c) the domain of fog and of gof (d) the conditions for which fog =gof

Q: 1)For the pairs of function find: a) (fog)( c)The Domain of (fog)() fow=3x- 4 b) (gof)s) gN=Vx + 2

A: We have the given function as fx=3x-4gx=x+2 The term “composition of functions” (or “composite…

Q: With f(x) = 4 – 3x and g(x) = 2x2 – 3x + 1, find: a) f(5) b) g(-2) c) f(4 – 2y) d) g(x + 4)

A:

Q: If f(x) = 5x+ 6-X, what is the ordered pair for x = 0 ? O (0,-1) O (0,10) O (6,0) (0,6)

A: Given that  f(x)=5x+6-x^2  To find the order pair at x=0

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) = 5x - 4 and g(x) = x? – 5x + 6. Then %3D %3D (f o g)(x) = %3D (go f)(x) = %3D

A: givenf(x)=5x-4and g(x)=x2-5x+6fog(x)=f{g(x)}=f(x2-5x+6)=5(x2-5x+6)-4=5x2-25x+26       answer

Q: Let f(x) = 5x –- 3 and g(x) = x2 – 6x + 2. Then (f o g)(x) = (go f)(x)

A:

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

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: Let f(x) = 2x – 5 and g(x) = x² – 7x + 2. Then (f o g)(x) = (go f)(x)

A:

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.