1) Given the functions: f(x) = x² + 1 1 g(x) = x² +1 a. Evaluate f o g(0) b. Evaluate g •f (0) c. Find a formula for f • g(x) d. Find a formula for g of (x)

Q: 1. Let f(x) = x? – 1 and g(x) = x² +x – 6. (a) Find (f – 9)(x) (b) Find (x) and give its domain. (c)…

A: R is the set of all real numbers

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A: Consider the function f(x)=3x-1 and g(x)=4-x. To find all values of x for which f(x)&lt;-1 or…

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A: first we analysis to given question that how to find f, G, h then we compute F(x) function.

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Q: Let h be a function with h1(10)=-12, and let g(x)=h(x2+1). Find g1(3).

A: Given:  h'10=-12, gx=hx2+1 Find:g'3 As,   gx=hx2+1 Using Composition of functions and the derivative…

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A: From the given problem:   fx=x2+1 ; gx=x+2   So,   f+gx=fx+gx=x2+1+x+2=x2+x+3 Hence, f+g=x2+x+3.

Q: Use the tables for functions f and g to evaluate each. f(x) g(x) (f - 9)(6) = f(-5) = -5 -3 4 2 1 -5…

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