Given \( f(x) = 8x \) and \( g(x) = 5x^2 + 9 \), find the following expressions: (a) \( (f \circ g)(4) \) (b) \( (g \circ f)(2) \) (c) \( (f \circ f)(1) \) (d) \( (g \circ g)(0) \)

Q: Given that f(x) = (x-7)2 and g(x) = 7 - 4x, find: a) (f + g)(-3)- b) (f-g)(-3)- c) (fg)(-3)- d)…

A:

Q: (3x – 4)(x + 6) = 0

A: To find the values of x (3x-4)(x+6)=0

Q: If f(x) = 2x²-2, then f(f(x)) = Select one: a. 4x4-8x²+6 b. 8x4-16x²+6 c. 4x4+6 d. 8x4+6

A: Here the given is

Q: x6(xy)² xy-1 If Find: a = b= is equal to xayb

A:

Q: Suppose that g(x) = 3x6 6x ®. Evaluate the following: – d(1) d (5):

A:

Q: For g(x)=x2+2x+8, find and simplify g(4+h)−g(4). g(4+h)= g(4+h)-g(4)=

A: The function is considered as  gx=x2+2x+8. To find the value of g4+h, substitute x=4+h in gx=x2+2x+8…

Q: F(x)=7x+2 a. F(-7) b. F(x+4) c. F(-x)

A: F(x)=7x+2 a. F(-7) b. F(x+4) c. F(-x)

Q: If (fg)(x) = 3x? – 22x + 39, find f and g.

A:

Q: f(x) = 13x + 4 a.) f(-3) b.) f(4)

A: topic - functions

Q: Given f (x) = 3x² – 1 and g(x) = 4 – 2x, find a simplified expression for 2f(a – 1) +3g(-a).

A: The value is:-

Q: Questlon 4 of 10 f(x) = + 2 g(r) = 3x2 – 5 %3D | Find (ƒ - g)(x). O A. (f · g)(x) = 3x + 10 %3D B.…

A: Ttt

Q: Given that f(x) = x² – 7x and g(x) : (a) (f + g)( – 4)=| = x + 10, find (b) (f – 9)( – 4)= (c) (fg)(…

A:

Q: Let f(x) = 3x² + 4x – 1 and g(x) = 2x + 7. Find each of the following: a. (f + g)(x) b. (f + g)(4).

A:

Q: If f (x) = 2x + 6, g (a) = -9, find – 12 (f+g) (x) O 9x-12 -9(3x-1) -9(3x-4) O 9(3x+4)

A:

Q: Give f(x)=√x-3 , find the following values of f(x²+4x+7)

A: Step 1           Given : f(x)=x-3          ∴f(x2+4x+7)=x2+4x+7-3

Q: If C(x) = 9x² - 8, find the following. (a) C(0) (b) c(-1) (c) C(-3) (d) ((--)

A:

Q: Let f(x) -x² + x. Let g(x) = 6x - 4. Find the following: (a) f(5) + g(5) = 56 (b) f(6) g(6) = 1344…

A: The given functions are f(x)=-x2+x,g(x)=6x-4 We have to find the a) f(5)+g(5)b) f(6).g(6)c)…

Q: If f(x)=x² - 6x + 5 and g(x)= - 4x, find the following compositio (gof)(-5) (gof)(-5) = (Simplify…

A: Solve the function

Q: Find (f.g)(-5) whenf(x)=-9x-9 and glx%%=D-8x2-8xtle

A:

Q: or g(x) = x2 +5 x+ 3, find and simplify fully g(3+ h) - g(3) %3D a) g(3+ h) = b) g(3) = %3D (c)…

A: Topic = Functions

Q: When f(x) : 8x2 + 2x + 3, evaluate f( – 3) f( – 3) =

A: Solution-      Given function f(x) = 8x2+2x+3 Put x= -3 f(-3)= 8× (-3)2+2×(-3)+3 We know (-3)2=9

Q: If f(x) = -3x + 10, find f(2a – 1).

A: Here given as fx=-3x+10

Q: If h(x) = -3(9x + 13) and h(x) = 15, find x.

A: given h(x) =15 than the equation become 15=-3(9x+13) 15=-27x-39 27x=-39-15 27x=-54

Q: (c) 0$ y = cos (√√x² +1) (d) y 2x 2x +1

A: Given that: (b) y=exx2(c) y=cosx2+1(d) y=2x2x+1 The quotient rule of derivative is…

Q: f(x) = 4x² + 6x g(x) = 2x² + 13x + 15 oJa) iven find Show your work.

A: