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: Find (f- g)(x) when f(x) = 7x - 8 and g(x) = 2x - 2. O A. - 5x +6 О В. 5х-6 ОС. 9х -10 O D. 5x - 10

A: fx=7x-8gx=2x-2To find:f-gx

Q: Given the two functions f(x) = 5x + 6 and g(x) = 3x2 − 4x + 8 Find: (d) (f/g)(x) (e) (f ∘ g)(x)…

A: Given functions are: fx=5x+6 and gx=3x2-4x+8 Answer (d): Therefore,  f/gx=fxgx So,…

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: 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: 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…

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: If f(x) = 2x2 − x + 5, find the following. f(2)=  f(−2)=  f(a)=

A: As per our guideline we are allowed to do 1 question and 3 subparts at a time. please post other…

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: If h(x) = −2x2 − x + 8, find h(−2), h(−6), h(3), and h(5).

A:

Q: Find g (5a - 2) + 3g(2a) if g(x) =  x2 - 5x + 8

A:

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.