(1) Given f(x) (a) Find f 1 1-x 2 (²). f(x) = 2 and g(x)=√x² +2. (b) Find fog (c) Find and simplify (fof)(x²) (2) Solve the following equation.

Q: F(x) = 8x+5/8 G(x) = x-5/8 Are these two equations inverses of each other?

A: Consider the following inverse composition rule: The two functions fx and gx are inverse if: 1.fgx=x…

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: Given that f(x) = 9x + 5 and g(x) = 3 - x², calculate (a) f(g(0))= (b) g(f(0))=

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Q: Given that f(x) = 2x − 6 and g(x) = 5 – x², calculate - (a) f(g(0))= (b) g(f(0))=

A: Given that fx=2x-6 and gx=5-x2, to calculate the following. (a) fg0 (b) gf0

Q: Given that f(x) = 3x - 7 and g(x) 7 and (a) f(g(0))= (b) g(f(0))= g(x) = 6 - x², 6 - x², calculate

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Q: Given that f(x) = 8x + 5 and g(x) = 6, calculate (a) f(g(8)) = (d) g(f(3)) =

A: Given

Q: The amount of energy a microwave oven uses (in the form of electricity) is given by the function…

A: The amount of energy a microwave oven uses is given by the function f(x)=5x+9   The amount of energy…

Q: f(x) = 2x³9x² + 12x − 3 -

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Q: Given that f(x) = 4x2 and g(x) = 6 - x², calculate (a) f(g(0))- (b) g(f(0))-

A: The composition of the function f(x) and g(x) are: f(g(x)) and g(f(x))

Q: Let g(x) = 6x + 15 3x + 5 (a) Find g(0) X = (b) Solve g(x) 0.

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Q: Given that f(x) = 9x + 7 and g(x) = 1 - x², calculate (a) f(g(-4))= (b) g(f(-4))=

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Q: Given that f(x) = 7x – 5 and g(x) = 7 - x², calculate (a) f(g(0)) = (b) g(f(0)) =

A: We have to find the composite function.First we will find composite the function and then put the…

Q: Given that f(x) = 5x – 9 and g(x) = 9 - x², calculate (a) f(g(0)) = (b) g(f(0)) =

A: f(x)=5x-9g(x)=9-x2

Q: d. (f/g) (x) f(x)=3x+4; g(x)=2x-3

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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: Given that f(x) = 3x+2 and g(x) =x2 - 2x - 4, find (g o f)(5). (g o f)(5) = (Simplify your answer.)

A: Consider the given functions as below; Known fact; Calculat the value of f at the point x=5 as…

Q: Given that f(x) = 8 - 9 and g(x) = 7 - x², calculate

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Q: Let  f(x) = (2x − 9) / (x + 2). (b) Show f −1 exists. Let f(a) = f(b) and show that a = b.…

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Q: Given that f(x) 7x +7 and g(x) = 3 – x², calculate (a) f(g(0))= (b) g(f(0))=

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