We know
so
so
f(x)= 5
so answer is 5
pt 3 (1 point) The expression can be written as eft), where f(x) is a function...
(1 point) Write an expression for the function, f(x), with the properties. f'(x) = (ln(x)2)/x and f(5) = 6. 133 f(x) = Steel where a = and b =
48 The function f is defined by f(x) = for 3 <x< 7. The function g is defined by g(x) = 2x - 4 for .X-1 a<x<b, where a and b are constants. (i) Find the greatest value of a and the least value of b which will permit the formation of the composite function gf. [2] It is now given that the conditions for the formation of gf are satisfied. (ii) Find an expression for gf(x). [1] (iii) Find...
This Question: 1 pt 2 of 6 a. For the function and point below, find f'(a). b. Determine an equation of the line tangent to the graph off at (a f(a)) for the given value of a f(x) = x?; a = 2 a.f'(a) = 0 b.y=0 Book
-2x +1, if x s -1 For the function f(x)= 2,1. ifxs- 6. I. Evaluate: a) f(-2) b) f(-1) c) f(o) II. Graph the function f(x) 5 2 -3 -5 7. Expand the following logarithmic expression using the properties of the logarith Assume all variables are positive. In Ve , find sin θ and tan θ, where θ terminates in the third quadra If cos θ 8. -2x +1, if x s -1 For the function f(x)= 2,1. ifxs- 6....
This Question: 1 pt The function f(x) = 7x + 3 x-1.x+1, is one-to-one. Find an equation for f '(x), the inverse function. f'(x)=x+7 (Simplify your answer. Use integers or fractions for any numbe
(1 point) The equation 3ry2r 2y2 (*) can be written in the form y f(y/x), ie., it is homogeneous, so we can use the substitution u = y/x to obtain a separable equation with dependent variable uu(x. Introducing this substitution and using the fact that y' ru' u we can write () as y xu'w = f(u) where f(u) Separating variables we can write the equation in the form da np (n)6 where g(u) = An implicit general solution with...
Question 15 1 pt 1 Details -3.2 - 7 Given the function f(x) = - 2x2 + 2x + 11 32 +4 Calculate the following values: <-3 -3<<4 f(4) = f(10) = f(-3) = fl - 9) = f(1) = f(2) = Question 16 1 pt 1 Details Find the average rate of change for the given function over the indicated values of x. If necessary, round your final answer to two decimal places. y = 5x + 7, where...
This Question: 1 pt 2 of 3 Let f(x) = x + 2 and g(x)=x²-x. Find and simplify the expression. (f+g)(2) (f+9)(2) = (Simplify your answer.)
HW07: Problem 3 Previous Problem Problem List Next Problem (1 point) Let f(x) = -5+5vX. Then the expression f(x +h)-f(x) can be written in the form VBx + Ch) + (7) where A, B, and C are constants. (Note: It's possible for one or more of these constants to be 0.) Find the constants. A = 3 C = 0 Use your answer from above to find Lim (x +h)-f(x) 10 lim f(x+h)-f(x) Finally, find each of the following: f'(1)...
For the function f(x)=−3−5x^3 find the derivative of the inverse function f-1 at the point x=37. (f−1)'(37)=