Suppose that the functions s and t are defined for all real numbers x as follows. s (x) =x+3 t(x) = 2x+1 Write the expressions for (s-t)(x) and (s - t)(x) and evaluate (s +t)(3).

Q: Let f(x) = x² + 6x + 2

A: Function is given by f(x) = x2 +6x + 2 To evaluate : fx+h - f(x) and fx+h - f(x)h

Q: Use the function f(x) = -3a? + 7æ + 7 to compute and expand and simplify the following. a. f(-2) =…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

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: Evaluate the following functions at the given values, and simplify the resultant expressions: a) For…

A: As per company guidelines we are supposed to answer maximum three subparts from a question. for…

Q: Let f(x) = mx? + 7x +8 and g(x) = 3x² – nx + 3. The functions are combined to form h(x) =f(x) +…

A: Solve the equations

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: coming year. Total profit from planting xj acres at farm j is expressed by the function P(x,, X2,…

A: profit = 235x1 + 540x2 + 252x3 - 525000 we are given that x1 = 300 x2 = 600 x3 = 450

Q: If f(x) = x2 – 6x and g(x) = 6 – x³, evaluate the following. %3D a. (f+ g)(- 2) b. (g - )(- 4) c. (f…

A: The given functions are f(x)=x2-6x  &  g(x)=6-x3

Q: Let f(x)=x +3 and g(x)=-2x+6. Find each of the following. (a) (f+g)(2) (b) (S - 8)X2) (c) (fg)(2)…

A: we have to find the following

Q: Consider the following functions. f(x)  =  7x + 42 g(x)  =  x2 − 3x − 54   (a) Find (f/g) (x) and…

A: We have the following function- f(x) = 7x + 42 g(x) = x2 − 3x − 54 We know that fg(x) = f(x)g(x)

Q: Use f(x) = 2x - 8 and g(x) = 4-x´ to evaluate fAg(-1)). %3D Find f (g (x)) for f (x) = 7x + 7 and…

A:

Q: %3! Let A(r) = | f(t)dt for the function f(t) graphed below. Evaluate A(x) for a = 2 and 5. 2 5.…

A: Find area under the curve A(x) from 0 to 2 and 0 to 5

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: Let m(x) = 2x²-ax-2 and n(x) = bx² + 2x + 5. The functions are combined to form the new function…

A: