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

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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.)

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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: ) 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: 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: 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. 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

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