For the function f(x)=√x+3 ifx<2 2x-3 ifx22 evaluate the following: ,

Q: 9. Use the product rule to find and state the rule for dif- ferentiating a product of three…

A: The product rule of differentiation is given by,…

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: For an electric car, the number of miles that can be driven powered by only batteries depends on the…

A: Function is the unique relation where each x is mapped to unique y. It can be of many type,…

Q: sets of vectors (a) {-1² + 1 + 2, 21² + 2r + 3, 4r² –

A: We have given set of basis ,say : B1=-t2+t+2, 2 t2+2t+3 , 4 t2-1 We need to check whether B1 is a…

Q: 2 For the function f(x) = 2x² – 4x, evaluate and simplify. - f(x + h) – f(x) h. II

A:

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  &amp;  g(x)=6-x3

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: 5 and g(X) = 3X the following functions. a. (fo g)(x); b. (g o f)(x); c. (fo g)(- 1); d. (go f)(- 1)

A: Given: fx=x-5 gx=3x2-1 a) f∘gx is given as, f∘gx=fgx               =f3x2-1               =3x2-1-5…