f(x) = 4x2 + 5,    g(x) = 6x (a) Find (f ∘ g)(x). 144x2+5     (b) Find (g ∘ f)(x). 24x+30     (c) Find  f(g(−3)). (d) Find  g(f(4)).

Q: Let f(x) = 3x + 4. and g(x) = -6x + 7. (If an answer is undefined, enter UNDEFINED.) (a) Find f(6) +…

A: From the given problem:   fx=3x+4gx=-6x+7   So,   f6=36+4=18+4=22   g6=-66+7=-36+7=-29   a)…

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: Find (a) (fog)(x) and (b) (gof)(x). f(x)=√x-8; g(x)=5x-6 (a) (fog)(x)= (b) (gof)(x) = (Simplify your…

A:

Q: Let f(x) = 5x 2 and g(x) = 2x² - 9x + 6. (a) Find (f. g)(x). (b) Find (g. f)(x).

A:

Q: (x+2) (x-5) =0

A:

Q: Given f(x)=-x+2f(x)=−x+2, find f(-6)f(−6)

A: Given f(x) = -x+2 To get f(-6) substitute x=-6 in f(x)

Q: find (f-g)) wherefa)=-7x²+ 8n-4 and g (x) =-11x+2-1Mx²

A:

Q: (X+3)(x-8)=0

A:

Q: f (x) = -3x2 + 3x g(x) = 2x + 5 Find L(-4) g(-4) Answer:

A:

Q: Find (fo g)(x) and (g o f)(x). f(x) = 4x + 8. g(x) = 2x (fo g)(x) = 16x + 8 (Simplify your answer.)…

A: We have to find function

Q: x3 + 27 = (x )(x². + 9)

A: Since a3+b3=(a+b)(a2-ab+b2)

Q: If f(x) = x2 + 8 and g(x) = x2 - 6, find (g ∘ f)(2). a 62 b 138 c 12 d 48

A: Given, f(x) = x2 + 8  g(x) = x2 - 6  (g ∘ f)(2)=?

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) = x³ln (3x² – 2x + 7)

A: f(x)=x3 ln (3x2-2x+7)ddxf(x)= ddx(x3 ln (3x2-2x+7))Now ddxg(x).h(x)=g(x).ddxh(x)+h(x).ddxg(x)here…

Q: Use f(x) = 3x - 5 and g(x) = 4x² to evaluate the expression. (a) (fof)(x) 9x - 20 (b) (gog)(x)…

A: Given: f(x) =3x - 5   g(x) = 4 - x2

Q: g(9)=-2x2+x+13

A: Given: g(9)=-2x2+x+13       To determine: g(9)

Q: Find f. g, g. f, and g. g. f(x)=√x-9, g(x) = x³ +9 (a) f.g (b) g.f (c) g.g

A: Given query is to find indicated composite function.

Q: f(x) = 5x + 2, g(x) = 3x - 4.Find: a. (f ∘ g)(x)   b. (g ∘ f)(x)   c. (f ∘ g)(2)   d. (g ∘ f)(2).

A: We have to find: a f∘gxb g∘fxc f∘g2d g∘f2 when, fx=5x+2gx=3x-4 We have to find composition of…

Q: If f(x) = x-9/ 6  and g(x) = 6x + 9, find (g ∘ f)(x). a 6x + 45 b x c x + 18 d x -

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: 2x+10x+12 f(x)= x´-9

A: Solution: The objective is to simplify the given function

Q: f(x) = 4x² – 2, g(x) = 4 – 3x, and h(x) = f(g(x)). Find h(3) a. -170 b. -102 C. -5 d. 98

A:

Q: Given f(x) = 7x +4, g(x)=6x². Find g(f(x)). Answer: g(f(x)) = S

A: Given, the functions are                             f(x)=7x+4, and  g(x)=6x2. To find the value of…

Q: f(x) = -3x² + 2, g(x) = x + 2 Find f(-5) - g(-5).

A:

Q: For f(x) = 7x - 8 and g(x) = (x+ 8), find (fo g)(x) and (g o f)(x). Then determine whether (fo g)(x)…

A:

Q: Let f(x) = 3x + 8 and g(x) = -6x + 9. (If an answer is undefined, enter UNDEFINED.) %3D %3! (a) Find…

A: NOTE: Refresh your page if you can't see any equations. . take x=6

Q: Simplify the following rational function and state where the vertical asymptote and hole exist.

A: NOTE: Refresh your page if you can't see any equations. .

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.