Given that f(x) = x² + 7x and g(x) = x + 5, calculate (a) fo g( – 2)= (b) go f( – 2)=

Q: Find the domain of the function    f(x)= 31x/x-3

A: For any rational function the denominator can not be 0.

Q: Consider f(x) = 3V(x - 5). Write its domain.

A:

Q: Let f(x) = x2 and get g(x) = 2x. Find the value of (g ∘ f)(x) (a) 48 (b) 36 (c) 72 (d) 144 (e) 18

A: In (gof)(x), input function is f(x) and output is g(x).  To find ( g o f )(x), one have to plug f(x)…

Q: Describe the end behavior of the function f(x)= √7x

A:

Q: Let M sity, 2023. All rights reserved. b0 3 3 = Top 21 0 3 determine which of u right Texas Sta 12…

A:

Q: s(x)= Vzx-10 С.

A:

Q: Let f(x) = –2x + 4 and g(æ) = –6æ – 7. Find f(x) – g(x).

A:

Q: For g (x) = x² + 8x + 4, find and simplify g(1 + h) – g(1). (a) g(1+h) = (b) g(1) = (c) g(1+ h) –…

A: Given,       g(x)=x2+8x+4

Q: If g(t) = -3t3 , evaluate g(4t).

A:

Q: Find (fo g)1; if f(x)= x+4 and g(x)= 2x -5.

A:

Q: For f(x) = 4x - 5 and g(x) = 2x - 5, find the following functions. a. (fo g)(x): b. (g o f)(x); e.…

A: Given : f(x)=4x-5 , g(x)=2x2-5 we have to write the followings (1) (f∘g)(x)(2) (g∘f)(x)(3)…

Q: If f(x)=5ex, find f(3).

A: Given function:

Q: Let f(x) = 2 - 4x + 11x. Calculate the following values: f(a) = %3D f(a + h) =-4 f(a + h) – f(a) for…

A: To find the value of the function at a particular point, the arguements of the function are replaced…

Q: ] If f(2x+3)=4x²-2x+3, find f(x).

A:

Q: Find the difference of the two functions A(x)=1x-6 and B(x)=x+8x-2 at 6

A:

Q: Calculate the following values:

A:

Q: F(x)=20x+90, where x is the number of games purchased. What is the inverse of this function

A: To find F-1(x), substitute y for F(x) in the given function. F(x)=20x+90y=20x+90

Q: If f(x) = x? – 3x + 4, find f(-3) and f(2a).

A: Given,f(x)=x2-3x+4,to find: f(-3) and f(2a). Solution: f(x)=x2-3x+4Substituting,x=-3 we get f(-3)…

Q: Given the functions f (x) = 3- x² and g (a) = 2x – 1, calculate (go f) (-2).

A:

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

A:

Q: 1a) ~IN it is known that. Show that @X @ ~IN accor ding to this. the setoe all closed inter vals…

A:

Q: If f(x) = 6x – 4, find f(b + 2).

A: given,          fx=6x-4

Q: 5 and g(X) = 3X the following functions. a. (fo g)(x); b. (g o f)(x); c. (fo g)(- 1); d. (go f)(- 1)

A: Given: fx=x-5 gx=3x2-1 a) f∘gx is given as, f∘gx=fgx               =f3x2-1               =3x2-1-5…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: