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aliciajackson26
01.11.2020 •
Mathematics
Consider a function of the form f(x) = 7x^2 + ax, where a is a real number. What is the difference quotient of f(x) for all nonzero values of h?
A. 7h + a
B. 14x + 7h
C. 7x + 7h + a
D. 14x + 7h + a
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Ответ:
We select option D: 14 x + 7 h + a
Step-by-step explanation:
To find the difference quotient for h we do:
[f(x+h) - f(x) ] / h
that is:
[7 (x+h)^2 + a (x+h) - 7x^2 - a x] / h
[ 7 (x^2+ 2xh + h^2) - 7x^2 - a x] / h
[ 7 x^2 + 14 x h + 7 h^2 + ax + ah - 7 x^2 - a x] / h
cancel out terms:
[ 14 x h + 7 h^2 + ah] / h
14 x + 7 h + a
Ответ:
Step-by-step explanation:
Given the expression 2-4x+1=0, we are to find the value of x from the expression and this is as shown below:
Given:
2-4x+1=0
Step 1:
collect like terms
2-4x+1=0
-4x +2+1 = 0
-4x+3 = 0
Step 2:
Subtract 3 from both sides of the equation
-4x+3-3 = 0-3
-4x = -3
Step 3:
Solve for x:
-4x/-4 = -3/-4
x = 3/4
Hence the value of x is 3/4