Given g(x) = 7x2 − x + 4, 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: Let f(x) = 5x 2 and g(x) = 2x² - 9x + 6. (a) Find (f. g)(x). (b) Find (g. f)(x).

A:

Q: h (x) = -4x² +5 g (x) = 6x -3 a. find (h/g) (-2) b. find all values that are not in the domain of…

A: a. h (x) = -4x² +5 g (x) = 6x -3 hg(-2)=-4x2+56x-3=-4(-2)2+56(-2)-3=1115

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: 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 (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: 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: g(x) = 8x2 + 40x − 13; g(x) = 819 Calculate the corresponding output or input value.

A: First of all, consider the given function g (x) and the value of g (x).Simplify the equation to get…

Q: Given g(x) = 4x² - x + 9, find the following. (a) g(0) (b) g(-1) (c) g(r) (d) g(x + h)

A: We can answer the questions as below.

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

A:

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: 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: Given f(x) = 5x + 6 and g(x) = 2x2 - x - 1, find (f ∘ g)(-1).

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…

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.