Advertisements
Advertisements
Question
Find k, if f(k) = 2k – 1 and fof(k) = 5
Advertisements
Solution
f(k) = 2k – 1
fof(k) = 5
f(f(k))m = f(2k – 1) = 5
⇒ 2(2k – 1) – 1 = 5
4k – 2 – 1 = 5
⇒ 4k = 8
k = 2
APPEARS IN
RELATED QUESTIONS
Using the function f and g given below, find fog and gof. Check whether fog = gof
f(x) = `(x + 6)/3`, g(x) = 3 – x
Using the function f and g given below, find fog and gof. Check whether fog = gof
f(x) = 3 + x, g(x) = x – 4
Using the function f and g given below, find fog and gof. Check whether fog = gof
f(x) = 4x2 – 1, g(x) = 1 + x
For \(f:A\to B\) and \(g:B\to C\), what are the domain and codomain of \(g\circ f\)?
Which statement expresses that composition is not commutative in general?
If f: A→B and IA is the identity function on A, which relation is correct?
For \(f(x)=4x^2+1\) and \(g(x)=\frac{1}{x+2}\), which formula represents \((f\circ g)(x)\)?
Let \(f\) be the signum function and \(g(x)=\lfloor x\rfloor\). What are \((g\circ f)(\frac12)\) and \((f\circ g)(\frac12)\), respectively?
For \(f(x)=\frac{x-1}{x+1}\), what is the domain of \(f\)?
For \(f(x)=\frac{x-1}{x+1}\), what is the domain of \(f\circ f\)?
