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Help me solve this - Sets, Relations and Functions - JEE Main-3

If $f(x)=c$ where $c\epsilon R$ and $g(x)=e^{x}$ then $fog (x)=$

Option 1)
$e^{x}$
Option 2)
$ln\: x$
Option 3)
$c$
Option 4)
$x$

Answers (1)

102 Views

H Himanshu

As we learned

Constant Function -

$f\left ( x \right )= c,\: \: \: \forall x\in A$

if $f:A\rightarrow B\: and \: c$ is a constant value.

- wherein

$fog(x)=f(e^{x})=c$

Since f(x) = Constant function .

Option 1)

$e^{x}$

Option 2)

$ln\: x$

Option 3)

$c$

Option 4)

$x$

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