Question

Let f(x)=3-7x and g(x)=2+5x.  Find the following: f(2), g(-3), the value(s) of x where f(x)=g(x)

Answer 1

Let f (x) = (1- x)2 sin2 x + x2 for all x Î IR, and let
1
2( 1)
( ) ln ( )
1

-  =  - 
 +  
x
t
g x t f t dt
t
for all x Î (1, ¥).
51. Consider the statements:
P : There exists some x Î  such that f(x) + 2x = 2(1 + x2)
Q : There exists some x Î  such that 2f(x) + 1 = 2x(1 + x)