SOLUTION: Given that f(x)=px + q and g(x)= rx + s prove that fog=gof if and only if s(p-1) = q(r-1)

Algebra.Com
Question 1066409: Given that f(x)=px + q and g(x)= rx + s prove that fog=gof if and only if s(p-1) = q(r-1)
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!


If , then





RELATED QUESTIONS

If x+4-4i is a factor of the function f(x) = px^2 + qx + r, show that p,q and r are in... (answered by josgarithmetic)
If x+a is a factor of the polynomial x^2 + px + q and x^2 + mx + n, then prove that a =... (answered by KMST)
Given that f(x)=x/1-x^2 , g(x)=1/x . how to find fog (x) and gof(x) ...and how find the... (answered by stanbon)
If p(x)=2x and g(x)=2^x, find... (answered by Fombitz)
If p(x)=2x and g(x)=2^x, find... (answered by Fombitz)
. Determine fog and gof given that i. F(x)=3x-4 g(x)=x^3 (answered by Tatiana_Stebko)
A function f is defined by f:x🔜px+q. Given that f(1)=-5 and f(-2)=-10, find value of p (answered by Alan3354)
If {{{ x = sqrt( pq ) }}} and {{{ y = expr(1/2) (p+q) }}} prove that x <... (answered by Edwin McCravy)
find the linear equation that passes through (p,q) and parallel to y = rx +... (answered by lwsshak3)