Example: Given m(x) = x + 3 , n(x) = x² – 9 , and p(x) = Vx + 1 %3D - Find (n-m) (x) and write the domain of n – m in interval notation

Q: Let f(x) = x + 3 and g(x) = x² – 3x + 9. Find each of the following. a. (fg)(x) b. (fg)(-2) c.…

A: Given function are fx=x+3 and gx=x2-3x+9. To find: (a). fgx   (b).   fg-2     (c). fg0 Solution: We…

Q: Find the domain of f(x) 2x / x2+1

A: The given function is,

Q: Find n(B) if B = {x : x is a letter in the word “bookkeeper”}.

A: Find n(B) if B = {x : x is a letter in the word “bookkeeper”}.

Q: Let P(x) = ax² + bx³ + x +1 where a and b are real numbers. Find values of a and b such that P(2i) =…

A:

Q: Let f(x)=|4+10x|.

A:

Q: Find the domain of f if 2x + 1 f(x) = 2x2 – x – 1

A: Given: fx=2x+12x2-x-1 Domain of a function is set of all values of x for which function is defined…

Q: If f(x) = (5x + 16) and g(x) = (x – 12)3, find all values of x for which f(x) = g(x).

A: Given ,f(x)=(5x+16)13,and g(x)=(x-12)13 To find: All values of x for which f(x)=g(x). Solution:…

Q: Let g(x) = 2x-4x2 +x+2. Find g(-3).

A:

Q: Let f(x) = 9x + 7x2. Compute the difference quotient f(x+h)-f(x) h and simplify it so that it has…

A: The objective of this question is to compute the difference quotient of the function f(x) = 9x +…

Q: Let f(x) = 5x2-3x and g(x)=6x+5. Find f[g(k)]. f[g(k)]= (Type an expression using k as the…

A:

Q: Let f(x) =(10x + 15) and g(x) = - (8 – 12x). Find all - 9 values of x for which g(x) = f(x).

A: Since f(x)=25(10x+15) and g(x)=14(8-12x)Our Aim is to find the value of x for which g(x)≤f(x).

Q: Example 3: Given the function h(x) = (x-2)/(3x + 4) and g(x)= (x+5)/x, determine the point(s) of…

A: The given functions are   hx =x - 23x + 4 and gx = x+5x To find the point(s) of the intersection, we…

Q: Find a symbolic representation for f-1(x) f(x)=6x3+3

A:

Q: Example: Given m(x) = x + 3, n(x) = x² – 9 , and p(x) = vx + 1 Find (n – m) (x) and write the domain…

A: Interval:- A interval is a set of real numbers that contains all real numbers lying between any two…