(1) Given f(x) (a) Find f 1 1-x 2 (²). f(x) = 2 and g(x)=√x² +2. (b) Find fog (c) Find and simplify (fof)(x²) (2) Solve the following equation.

Q: F(x) = 8x+5/8 G(x) = x-5/8 Are these two equations inverses of each other?

A: Consider the following inverse composition rule: The two functions fx and gx are inverse if: 1.fgx=x…

Q: For the functions f(x)=7x−2 and g(x)=3x2−7x−2, find (f⋅g)(x) and (f⋅g)(3)

A: given, f(x)=7x-2andg(x)=3x2-7x-2 we have to find the value of (f.g)(x) and (f.g)(3)

Q: If f(x) = −x2 − x − 4, find f(−4), f(0), and f(6)

A: Given that f(x) = −x2 − x − 4 Therefore f(-4) = -(-4)2 - (-4) -4 -> f(-4) = -16 + 4 -4 ->…

Q: f (x) = 5 - 3x , a = 2

A: Given: fx=5-3x ,a=2

Q: Given that f(x) = 9x + 5 and g(x) = 3 - x², calculate (a) f(g(0))= (b) g(f(0))=

A:

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: Given that f(x) = 3x - 7 and g(x) 7 and (a) f(g(0))= (b) g(f(0))= g(x) = 6 - x², 6 - x², calculate

A:

Q: f(x) = 2x³9x² + 12x − 3 -

A:

Q: Let g(x) = 6x + 15 3x + 5 (a) Find g(0) X = (b) Solve g(x) 0.

A:

Q: Given that f(x) = 9x + 7 and g(x) = 1 - x², calculate (a) f(g(-4))= (b) g(f(-4))=

A:

Q: Given that f(x) = 7x – 5 and g(x) = 7 - x², calculate (a) f(g(0)) = (b) g(f(0)) =

A: We have to find the composite function.First we will find composite the function and then put the…

Q: Given that f(x) = 5x – 9 and g(x) = 9 - x², calculate (a) f(g(0)) = (b) g(f(0)) =

A: f(x)=5x-9g(x)=9-x2

Q: If f (x) = x² +8x, what is the value of f(6)?

A: From the given problem:   fx=23x2+8x   →f6=? means at x=6 fx=? So, f6=2362+86

Q: Given that f(x) = 8x + 7 and g(x) = 4x², calculate (a) f(g(0))= (b) g(f(0))=

A:

Q: Given that f(x) = 3x+2 and g(x) =x2 - 2x - 4, find (g o f)(5). (g o f)(5) = (Simplify your answer.)

A: Consider the given functions as below; Known fact; Calculat the value of f at the point x=5 as…

Q: Given f(x)=x²+1 and g(x)=3-4, find 9.(g-f)(x) b. (fg)(x) C-(fog)(x) d. (gof)(x)

A: As per Bartleby rules we have to answer only first three questions.

Q: If f(x) = 4x+ 4, g(x) = - 3x + 4x + 3, and h(x) = - 5x? + 8, find f(1). f(1) =D (Simplify your…

A:

Q: If  f(x) = 4x2 − x3,  find  f ′(x),   f ″(x),   f ‴(x),  and  f (4)(x)

A: Topic- derivative of a function We are given, f(x) = 4x2 − x3 and we know thatddxxn=nxn-1

Q: The constant term of f(x)=x2+4x3+1 is 1. How can you say that 1 is the constant term?

A: fx=x2+4x3+1