Suppose that the functions S and t are defined for all real numbers X as follows. s(x)=x² t(x)=3x³ Write the expressions for (S-t) (x) and (s+t) (x) and evaluate (st) (-2). (s - t)(x) = (5 + 1)(x) = (st) (-2) = X ?

Q: For the function f(x) = 7x² - 3x + 2, f(x+h)-f(x) h evaluate

A: f(x)=7x2−3x+2

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: (x+1)/(x-1) + 2 > 0

A: We need to find the interval of x for which the given inequality holds good.

Q: Select all of the statements that are true for the functi O f(x) is shifted 4 units to the right. If…

A:

Q: Let f(æ) = 4x + 4 and g(x) = 5æ? + 2æ. After simplifying, (f + g)(x) =

A:

Q: -3 -2 -1 у 1 - 1 -2 -3 -4 -5- 1 2

A:

Q: For the functions f and g find a. (f+ g)(x), b. (f- g)(x), c. (f• g)(x), and d. |(x). f(x) = x - 8,…

A: Solution ) f (x) = x - 8 , g (x) = 7x + 9 a ) ( f + g )x = f(x) + g (x)  ( f + g )x  =  x - 8 + 7x +…

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: Let f(x) = x² + 7. Find and simplify: f(x + 6) - f(x) O 12x + 50 O 12x + 36 O 12x O 50 0 36 O 6x +…

A: We can simplify and find the correct answer in the below steps.

Q: If f(14)=27, find f-1(27)

A: If f(x) = y is any function and f is one-one then, => f-1(y)=x

Q: h(x) = [(x2 - 9) / (x - 3) if x ≠ 3 or 6 if x = 3]. Evaluate : a. h(5)           b. h(0)…

A: We have to evaluate the following: a. h5          b. h0        c. h3 Where function is hx=x2-9x-3 if…