if f(x)=px+q and g(x)=rx+s and f[g(x)]=g[f(x)]is
Answer (1)
7th Aug, 2020
Hello,
Solution:
f(x)=px+q, g(x)=rx+s
f(g(x))= p g(x) +q = p(rx+s) + q = prx+ps+q
g(f(x))= r f(x) + s = r(px+q) + s = prx+qr+s
f(g(x)) = g(f(x))
prx+ps+q = prx+qr+s
ps+q = qr+s
Now, given that-
f(x) = px+q
f(s) = ps+q [Since x=s]
And,
g(x) = rx+s
g(q) = rq+s [Since x=q]
Therefore, f(g(x)) = g(f(x)) is f(s) = g(q)
Hope this helps!!!
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