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: Consider the function f(x)=x2+6(5x−10)(x+4)f(x)=x2+6(5x-10)(x+4). For each prompt below, if no…

A: We need to find asymptote and intercepts.

Q: 6.) Evaluate f(-3) for f(x) = x³ + 3x + 17

A:

Q: Use the function f(x) = 5x – 6 to compute and expand and simplify the following. a. f(-) = b. f(-6a)…

A:

Q: A function f is defined by Ax + 5 f(x) 6x - 2 If f(1) = 4, find A.

A: Given: fx=Ax+56x-2  ……1   and, f1=4  ……2   To find: A

Q: Let f(x) = x + 3 if x ≥ 5, 8 if x < 5. Find f(12) - f(-12).

A:

Q: Find f(g(-5)), if f(x) = „4 and g(x) = (x+ 4)² O -7/9 O -7/3 O 2/9 O 1051/81

A:

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

A: Given  f(x) =x3+3x+17

Q: 2. Let f(x) = -x + 7 and g(x)=x²-2. Evaluate each expression. (a) f(g(1)) (b) g(f(6))

A:

Q: (b) Find the basis for the col(A) and null(A) 4 5 2 1 30 1 3 2 2 1 A ||

A:

Q: Let f(x) f-1(-7) = x +3 x + 9 О acer

A:

Q: 1) Find the following for f(x) = 2x +3 and g(x) = x² – 4. a. (f o g)(x) owing function b. (gof)(x)…

A: Use method to solve this

Q: let f(x)= 5/x +-8/4x+1. Determine the values of x for which f(x) = -2

A: Given that f(x)=-2  We plug this and find x

Q: A function f is defined by f(x) = X ‚ x # 2. Find f¯1 (-3) 2¹ x-2

A: Since, a function f is defined by f(x)=xx-2-(i), x≠2.Our Aim is to find the value of f-1(-3)=?

Q: Let f(x)=4(3)x−1. Evaluate f(3)

A: Given that, fx=43x-1 We have to evaluate f(3).

Q: If f(x) = 3x -5, what is the ordered pair for x = 0 ? %3D O (0,3) O (0,-5) O (0,5) O (-5,0)

A: