1. Suppose: f(x) = 2x + 5, g(x) = - x². a. Find g 8(S(x)) 'b. Is g(f(x)) one to one? Justify your answer.

Q: 2. Given g(x) = (3x+ 2)(x- 2), determine each value. a) g(0) b) g(-1) c) g(1/2)

A: The given function,   g(x)=3x+2x-2

Q: b) Find f(")(x) is f(x) =

A: The derived function is a function f  where f'(x) is the derivative of f at x, is the derived…

Q: 8. Given: f(x) = x - 2 and g(x) = 2x + 3 Find: a. (f + g)(x) b. (f - g)(x) c. (f · g)(x) d. (fo…

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Q: Q1. If g(4) = -9 for a function g(x), what can you say about g¬'(-9) ?

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Q: Let f(x) = x + 9x and g(x) = 5-x. () Find (x) and (2).

A:

Q: 3. Solve f(g(-2)) if f(x): and g(x) = 8 + 5x 3 + 2x

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Q: Define f (x) = 4+x – x² and g(x) = 5x 3. - Find the value of (go f)(3). o f)(3).

A:

Q: L. Let h (x) = f (x) g (x). Find a. h' (1), b. h' (3), and с. h' (4).

A: According to the given information,

Q: Let f(x) = x´ + 6x and g(x) = 5 – x. H() =D (Simplify your answer.)

A:

Q: = 4, fi(5) = -1, g(5) 2, and g (5) 25. If f(5) 2f(a) 3g(x) 3, find hi(5) if h(a) =

A: Differentiate the given function on both the sides with respect to x to get an expression for h’(x);

Q: Consider the following functions. f(x) = × 1 − ; g(x) = x² + 7 Complete the following statement,…

A: Step 1: Identify what for composition functions(f ◌ g) (x) = f ( g(x) )This is read as f composition…

Q: Given that g(x) = 3x-1/x+2 and h(x) = 7x+1/5x-1 a. Evaluate g(3). b. Show that hg(3) = 61/35

A: We evaluate the following function

Q: If g(x) = 3x2 + 2x- 4, find g(-3). %3D

A: In this question we have to find the value of g(-3)

Q: Let f(x) = x2 –4x and g(x) = 2+x. Find (-3). %3D (- 3) =| (Simplify your answer.)

A: Given, f(x)=x2-4xg(x)=2+x To find: fg(-3) Note that fg(x)=f(x)g(x)

Q: 2. Let f(x) = -x + 7 and g(x)=x²-2. Evaluate each expression. (a) f(g(1)) (b) g(f(6))

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Q: ) Given f(x) =x² +3 and g(x) = x - 4, find (go f)(x). Simplify your answer. %3D

A: Since,       (gof)(x) = g { f(x) } f(x) = x2 + 3 and g(x) = x - 4 put the f(x) into (gof)(x)

Q: 2. How does the function f(x) = -4x + 3x3 behave as x -00 and x 00?

A: The objective is to describe the behaviour of the given function in the ends .

Q: If f(x) = 5x, g(x) = -2x + 1, and h(x) = x² + 6x + 8, find each value. 44. h[g(2)] f[h(-3)] h[f(9)]

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Q: 32. For the function f(x) = 3X *5 Find: f (0) f(-2) f (3)

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Q: 8. If f(x) = -2x + 6, find the value of f(-3). %D

A: topic - functions

Q: What happens to the value g(x) if x is tripled

A: The value of the function when the x value is changed, totally depends upon the type of function.

Q: 5. Find (f g)(x) for f(x) = 4x -9 and g(x) 3x2.

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Q: 5. If f(x) = (r+ 1)(x-2) x-2 and g(x) = x+1, does f(x) = g(r)? Explain.

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Q: If g(x) = 3x2 + 2x - 4, find g(-3). %3D

A: