Define f: R→ R and g: RR by the formulas f(x) = x + 7 and g(x) = -x for each x E R. Find the following. (gof) f-1 og ¹ 11 || || 1 State how (g of)-1 and f-1 o g-¹ are related. -1 1 O (gof)-¹ is always greater than f-¹ og ¹. O (gof)-¹ and f-1 o g¹ are not related. -1 O (gof)¹ and f-¹ o g¹ are always equal. -1 O (gof)-¹ and f-1 o g¹ are sometimes not equal. 1 -1 O (gof)-¹ is always less than f-¹ og ¹,

Q: For which a is each of the following functions defined 2x – 3 (a) f(x) = (b) 1 g(x) = 3x + 2 4.x + 5

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Q: 6. Use algebra to determine whether the given functions are is even, odd or neither a) f(x) = -x³ +…

A: For a given function f(x)  If it satisfies the condition  f(-x) = f(x), then the function is Even.…

Q: h(x) = (x – 3)² Determine for each r-value whether it is in the domain of h or not. In domain Not in…

A: Given,  hx = x-32  We have to find the  whether 0, 3 and 4 is in the domain of h or not.

Q: Consider the function f(x) the difference quotient = 7 x²+1/ 3 4 -X-2. Compute f(xo+h)-f(xo) h

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Q: (-x if x < -2 4. Let f(x)=x² if-2<x<2 Compute the following function values: (0 if x ≥ 2 a) f(-3) b)…

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Q: Let f(x) = 1+ V7x +1. Determine the largest possible domain of f(x) Select one: • [-1/7, +o0)

A: Given function is  fx=1+7x+1

Q: The function below has the form f(x) = a · b² + k. %3D 14 Which of the following functions is shown…

A: Functions

Q: 3. Consider the relation f (x) = 2x² – 4. Find the f(x). Be sure to use proper notation.

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Q: O D. 2x + 2x+4 Find f(-x) when f(x) = 2x-2x+4. OA. O A. 2 +2x-4 O B. -2x +2x +4 OC. -2x + 2x-4 O O O

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Q: 5.) Evaluate f(-3) for f(x) = x³ +3x + 17

A: Given  f(x) =x3+3x+17

Q: Let f(x) a) f(a) = g(a) = 3x + 1. and g(x) = 2x. Determine values for a such that b) f(a²) = g(2a)

A: Given: fx=3x+1 and gx=2-x. We have to determine the value for a such that a fa=ga, b fa2=g2a.

Q: 1.) Let f(x) = 7 + What is f(3 + h)?

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Q: Apply Corollary 2 to the Intermediate Value Theorem. f is a polynomial and continuous everywhere.…

A: Given that, f(-3) = 170 &gt; 0 f(-2) = -25 &lt; 0 f(-1) = 2 &gt; 0 f(0) = -1 &lt; 0 f(l) = 2 &gt; 0…

Q: uestion 6: Suppose f: N N has the rule f(n) = 3n²-1. Determine whether f is 1-1.

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Q: Which of the following functions are even? □ y = f(x)g(x) f(x) y = 12g(x) y = f(x) = g(x) y = g(x)¹3…

A: Here f and g are both odd.