Suppose that S is a vector space that is a subspace of the space of functions from R to R. Furthermore suppose that every element of S is a polynomial function, and that if p is in S then p(5)=k, where k is some constant. What must the value of k be equal to and why?

Q: Evaluate exactly each of the following. a. f (3) c. h (3) d. (h- g) (3) 2 f.

A: Given:f(x) = x3, g(x) = 3x−2, h(x) = (1/x).

Q: Lim (x?-zx+3) メーフト 2こ

A:

Q: 36. Given f (x)= 3x|-1 and g(x)= 0.03x -x+1 find when f(x) = g(x) · A -0.986 and 1.957 B. -0.986 and…

A:

Q: Write the equation of the function with h(5) = 12 and h(–3) = –4

A: Introduction: A function is simply an arithmetic object generating an output when an input is…

Q: ant

A:

Q: x + 1

A:

Q: |x−4/3|≥3

A: In the question it is asked to solve the mod equation |x-43|≥3.

Q: If P (A) = 0.6, P(B)=0.1, and A and B are mutually exclusive, find P (A or B). P(4 or B) = |

A:

Q: For what x is x(2x+3) positive?

A: For f(x)=x(ax+b). (1) f(x) is positive: ⇒x(ax+b)>0⇒x>0 and ax+b>0 OR x<0 and…

Q: 3x - 12 x² - 6x +8 what value(s) of x is the function discontinuous? Given a function defined by…

A:

Q: Example. Differentiate f(r) = (4r"-5x+4(72-z). n

A: The given function is fx=4x3-5x2+47x2-x.

Q: Differentiate. 5x-9 .3 g(x) = 2x + 1 gʻ(x) = D

A:

Q: 4. A vase that cost $800 is expected to increase in value by 7% each year for 5 years. 2nd DIFF. X…

A:

Q: for b find y...

A:

Q: Find the value of x. (a) 3 4 (b) (c) X = 35 x = X = x w/N X = X 12 X 20 X 27

A: we do only first three parts of multiparts questions there for please re post other parts (a)…

Q: Use the table to evaluate the given compositions. b.g (f (2)) e.f(f(f(1))) h.g(f(h (−1))) ah (g (3)…

A: As per Bartleby answering guidelines if a questions has multiple sub parts then an expert is…