1)
f(x) = 5x^2 - x - 7
a)
f(x+h) = 5(x+h)^2 - (x+h) - 7
= 5(x^2 + h^2 + 2hx) - x - h - 7
= 5x^2 + 5h^2 + 10hx - x - h - 7
b)
(f(x+h) - f(x))/h
= ((5x^2 + 5h^2 + 10hx - x - h - 7) - (5x^2 - x - 7))/h
= (5h^2 + 10hx - h ) / h
= 5h + 10x - 1
2)
g(x) = -6x + 4
a)
g(-9) = -6*(-9) + 4
= 54 + 4
= 58
b)
g(x) = 52
-6x + 4 = 52
6x = -48
x = -8
For the function f(x) 52-7, evaluate and fully simplify each of the following. Preview f(a +...
For the function f(3) = 622 - 4x + 4, evaluate and fully simplify each of the following. f(x + h) - f(a+h)-f(x) h Question Help video Submit Question 0 a hop imprivata I 5 7 0
For the function f(x)= 6x+3, evaluate and simplify. f(x+h)-f(x)=?
(5 pts) Let f(x)=-3x? +5x+2. Evaluate and fully simplify the difference quotient f(x+h)-f(x) h You must show all work to receive credit.
Evaluate the difference quotient for the given function. Simplify your answer. f(x) = x2 + 3, f(4 + h) − f(4) h
Let f(x) = 3 - 1x + 742. Calculate the following values: f(a) = Preview f(a+h) = Preview f(a+h)-f(a) Preview h PL for h +0 Given the function f(x) = f(a) = f(a+h) = f(a+h) - f(a) h - 7+ 3.c, calculate the following values: Preview Preview Preview Let f(x) be the function 1132 - 33 + 8. Then the quotient f(3 + h) - F(3) can be simplified to ah + b for: h Preview and b= Preview
Evaluate the function f(x) = x2 - 8x - 7 at the given values of the independent variable and simplify. a. f(6) b. f(x +9) c. f(-x) a. f(6)= (Simplify your answer.)
any ideas? 1. Spts) Let /(x)=x2-5x+2. Evaluate and fully (x+h)-(x) simplify the difference quotient #1: . You must show all work to receive credit #2: 2. (5 pts) Let S(x)=x? -5x and g(x) = 3x -2. Find the composite function f(g(x)). y 1x x=0 3. (6 pts) Graph the function S(x)= 7+1 X20 Use open and closed circles where necessary. Label at least two points on each piece with their coordinates. Show your work. USE THE VALUES FOR X, X...
Evaluate the function at the given values of the independent variable and simplify. f(x) = 4x -- (a) f(2) (b) f(-2) (c) f( - x) (a) f(2)= * (Type an integer or a fraction. Simplify your answer.) (b) f(-2)= 3 (Type an integer or a fraction Simplify your answer) (c) f(-x) = 4x+, 1 (Simplify your answer)
Let f(z Find the following functions. Simplify your answers. f(g(x)) = g(f(x)) = an r-5 Preview Preview
please help 9 to 11 !! thanks Evaluate the following anti derivatives F(x), Simplify. (5 9)/(x) = 2x3-5x + 7 10) f(x) 3Cosx+ Sine 4f2 11) f(x)= Evaluate the following anti derivatives F(x), Simplify. (5 9)/(x) = 2x3-5x + 7 10) f(x) 3Cosx+ Sine 4f2 11) f(x)=