Notice that the notation f(g(x)) is indicating that you replace x in f(x) with g(x). Simplify the following. 25. f(g(x)) 26. f(h(x)) 27. g(f(x))

Q: Simplify the expression 5x3 – 7x2 – 6x 2x2 – 10x + 12 and give your answer in the for f(r)

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Q: x + 1 74. Given f(x) and find the function g.

A: Given that, f(x)=1x andfg(x)=x+1x2-x   We have to find g(x)   As we know, fg(x)=f(x)g(x)…

Q: For numbers 11-1 refer to the figure bele r(x)=2x- <-2 JNE, 2 11. Evaluate r(2) a. -11 12. Find…

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Q: Given the function h, find functions f and g such that h(x) = (gof)(x). h(x) = (3 + 8x)6 a. f(x) =…

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Q: For the function f(x) = 4² -³ calculate the following function values exactly: f(4) = %3| f(7)

A: The function is given by fx = 4x-3                                .......(1) To evaluate : The…

Q: Consider the function h(x) 2 x5 +3 Write h(x) as a composite function, f(g(x)), determine each of…

A: Given a composite function h(x).

Q: For f(x) = x2 +3 and g(x) = x² - 7, find the following functions. a. (fo g)(x); b. (g o f)(x); c.…

A: f(x)=x2+3 and g(x)=x2-7

Q: 4) Given the functions below, evaluate ((f – g) o h) (2). f (x) = 2x g(x) = 3x h(x) = x² +1

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Q: -4x+12 ifxS-8 For the function, f(x)= 5 if-8<x<5.find the following. if x25 (c) f(-4.3) (1(6) |-(0)…

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Q: For the functions f(x) and g(x), evaluate the indicated function. 3) Find (2) when f(x) = x - 1 and…

A: See the details solution Below

Q: Plz answer neatly and clearly Thanksss

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Q: If equations for functions f and g are given, describe two ways to find (f – g)(3).

A: f-g3Subtraction of two function:f-gx=fx-gx

Q: (1 point) Let f(r) = 12 - 6x and g(x) = x – 6. Evaluate the following: | 1. (fog)(z)= 2. (go f)(z)=…

A: The composition if two functions can be defined as when we combine two functions in such way that…

Q: Let f(x) 1 and g(x) + 5. х — 5 - Find the following functions. Simplify your answers. f(g(x)) =…

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Q: The functions q and are defined as follows. g(x) = -2x+2 r(x) = -x² - 1 Find the value of g (r (5)).…

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Q: Simplify the expression 2а? + 9х + 4 x2 + 8x + 16 22 + 2х — 8 2x2 – 5x + 2 - - and give your answer…

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Q: For certain functions (and only those!), there is a relationship between stretching along the y-axis…

A: When the function fx=x2 is stretched vertically y a factor m, it becomes fx=mx2 and when it is…

Q: solve

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Q: Use the table of values to evaluate the expressions below. f(x) | g(x) 8 1 7 7 9 3 2 4 6 9 4 8 1 0 5…

A: The given table of values, x f(x) g(x) 0 8 1 1 7 7 2 9 3 3 2 4 4 6 9 5 4 8 6 1 0…

Q: (c) f(x) · g(x) f(x) (d) g(x) (e) f(g(x))

A: Given: fx=4x-8gx=7-6x

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.