Given that f(x) = (a) f(x) + g(x)= (b) f(x) = g(x)= (c) f(x) g(x)= f(x) = g(x) (d) x² x² - 10x and g(x) = x + 14, find

Q: Let f(x) = 5x 2 and g(x) = 2x² - 9x + 6. (a) Find (f. g)(x). (b) Find (g. f)(x).

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Q: Given that f(x) = 7x − 8 and g(x) = 6 - 2², calculate (a) f(g(0))- (b) g(f(0))-

A: Given: fx=7x-8, gx=6-x2 A composite function is a function that is formed by combining two or more…

Q: (a) Find f(g(2)). (b) Find g(f(2)).

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Q: If ƒ(x) = 2x and g(x) = x + 1, find (a) (ƒ  g)(x) (b) (g  ƒ)(x) (c) (ƒ  ƒ)(x) (d) (g  g)(x).

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Q: Given that f(x) = x² – 15x and g(x) = x + 6, find (a) f(x) + g(x)= (b) f(x) – g(x)= (c) f(x)g(x)=…

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Q: Given that f(x) = x² + 2x and g(x) = x - 9, calculate (a) f(g(x))=| (b) g(f(x))= (c) g(f(– 6))=

A: In the question we have to find the values of - 1.f(g(x))    2.g(f(x))     3.g(f(-6))

Q: f(x) = x + 5, g(x) = x - 4 Find (f + g)(-4).

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Q: Evaluate f(g(3)) if f(x)=6x−4 and     g(x)= x2

A: We find g(3) by plugging x=3 in g(x)

Q: Let f(x) = 3x –- 6 and g(x) = x² 2x + 11. (a) Find f(g(x)). (b) Find g(f(x)).

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Q: Find f(10). f(x) = x2 -7x + 15

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Q: fg(x) = 3x – 5 and h(x) = (f o g)(x) = 9x² – 30x + 25, then f(x) - - Jsing g(x) and f(x), determine…

A: Solution is given below

Q: Find (f o g)(1), (g o f)(1), (f o g)(x) and (g o f)(x). f(x) = x + 12; g(x) = 1/x2 (fo g)(1) =…

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Q: Add the functions: f(x) + g(x) where f(x) = -3x + 2 and g(x) = 2x – 4, %3D %3D h(x) = f(x) + g(x) =…

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Q: Let f(x) = 3x + 4 and g(x) = -8x + 5. (a) Find f(x) + g(x). (b) Find f(x) – g(x). (c) Find f(x)g(x).…

A: We have to find the value of   f(x) +g(x)  and f(x) -g(x) ,and f(x)g(x)  andf(x) /g(x)

Q: Let f(x) = 6x - 7 and g(x) = 6x + 4. (a) Find f(g(x)). f(g(x)) = (b) Find g(f(x)). g(f(x)) =

A: Given, f(x)=6x-7 and g(x)=6x+4.

Q: Given that f(x) = x² - 13x and g(x) = x + 13, find (a) f(x) + g(x)= (b) f(x) = g(x)= (c) f(x)g(x)=…

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Q: If  f(x) = 4x + 3 and g(x) =  1 x,  find f(g(x)) and g(f(x)). f(g(x)) =        g(f(x)) =

A: Given:…

Q: Given that f(x) = 8x + 7 and g(x) = 4x², calculate (a) f(g(0))= (b) g(f(0))=

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Q: Find g(f(g(-3)) given that f(x)=4x+3 and g(x)=x-2.

A: Solution :  Given that the functions  f(x) = 4x+3 g(x) = x-2