SOLUTION: For f(x)=(3x^2)+5and g(x)=7x-2,
a. Verify: g(x + 2) ≠ g(x) + g(2).
b. Find (f – g)(x).
c. Using the resulting function in (b), show that (f – g)(2) = f(2) – g(2)
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Question 960391: For f(x)=(3x^2)+5and g(x)=7x-2,
a. Verify: g(x + 2) ≠ g(x) + g(2).
b. Find (f – g)(x).
c. Using the resulting function in (b), show that (f – g)(2) = f(2) – g(2).
(The work should be different for each side of the equation.)
d. Is (fg)(0) =(f/g)(0)? Explain.
e. Find (f(x+h)-f(x))/h , h ≠ 0.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
For
a. Verify:
first find
and
substitute it in
b. Find
since
, we have
c. Using the resulting function in (b), show that .
(The work should be different for each side of the equation.)
d. Is ? Explain.
.....so, the product (on the left side of equation) could not be same as the quotient (on the right side of equation)
e. Find , .
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