If $f(x)=ax-b$ and $g(x)=cx+d$ are such that $f(g(x))=g(f(x))$, then which one of the following holds?
- A
$f(d) = g(b)$
- B
$f(b)+g(d)=0$
- C
$f(a)+g(c)=2a$
- D
$f(d)+g(b)=2d$
✓ Correct answer: D
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NewNcert › mathematics › Relations and Functions
If $f(x)=ax-b$ and $g(x)=cx+d$ are such that $f(g(x))=g(f(x))$, then which one of the following holds?
$f(d) = g(b)$
$f(b)+g(d)=0$
$f(a)+g(c)=2a$
$f(d)+g(b)=2d$
Want the full step-by-step reasoning?
Question ID #177900 · NewNcert