Given g(x) = 6x2 − x + 9, find the following.   (a) g(0)=   (b) g(−1)=   (c) g(r)=     (d) g(x + h)=

Q: Given g(x) = 8x2 − x + 6, find the following, g(r)=

A: Answer:   g(r)= 8r2−r+6Explanation:Step 1:

Q: Convert this equation to standard form: f(x) = (2x + 1)(x - 5) Of(x) = 2x² - 11x-5 Of(x) = 2x² + 1x…

A:

Q: Given that f(x) = 7x – 5 and g(æ) = 9 – a², calculate %3D (a) f(9(0))= (b) g(f(0))= Check Answer

A: Consider the given functions, fx=7x-5  and  gx=9-x2 (a) Find the composition function. fgx=fg(0)…

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: Add the given functions (f+g)(x) f(×)=7×-8 and g(x)=-11×-3

A: Given that

Q: Perform the operation g(x)=2x-5 h(x)= 4x+5 find: g(3) - h(3

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: 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: for f(x)=2x+18 and g(x)=x2-4x-5, the value of g(f(-8) is: A. -9 B. 8 c. 135 d.55

A: Given that, the functions are fx=2x+18 and gx=x2-4x-5. Obtain the value of gfx.…

Q: Given f(x) = -8x + 12, g(x)= - 4x². Find f(g(4)). Answer:

A:

Q: Given f(a) = and g(x) = 4x + 5, find (go f)(x). Select a single answer 4x + 15 x + 10

A:

Q: Evaluate f(x−5)f(x-5) when f(x)=−4x2−4x−4f(x)=-4x2-4x-4

A: Given :            f(x) = -4x2 - 4x - 4   To evaluate f(x - 5).

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: 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: 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)=(x−7)^3(x−11)^6, where does f(x) touch the x-axis and turn?

A: Given data: The expression for the given function is f(x)=(x-7)3(x-11)6.   Here, the graph of the…

Q: Consider the following functions. f(x) = 5x + 5; g(x) = 3x2 + 3 (a) Write the sum of the two…

A: As per our guidelines we are suppose to solve only three sub-parts of a question if the multiple…

Q: Use f(x) = 5x - 6 and g(x) = 4 - x2 to evaluate the expression. (a) f(g(0)) 25x – 30 (b) g(f(0)) -12…

A: We have given : f(x) = 5x - 6                               g(x) = 4 -x2 To Find: a   fg 0b  gf0

Q: Find (dy/dx) by implicit differentiation. x^2 y^3 - 4xy^2 = 3 (dy/dx) =

A: