Q

# Find gof and fog if f x is equal to 8 x to power 3 and g x is equal to x to the power 1 over 3

Q.3 Find gof and fog, if

(ii) $f (x) = 8x^{3}$and $g(x) = x^{\frac{1}{3}}$

Views

The solution is as follows

(ii)  $f (x) = 8x^{3}$and $g(x) = x^{\frac{1}{3}}$

$gof$  $= g(f(x))$

$= g( 8x^{3})$

$= ( 8x^{3})^{\frac{1}{3}}$

$=2x$

$fog$ $= f(g(x))$

$=f(x^{\frac{1}{3}} )$

$=8((x^{\frac{1}{3}} )^{3})$

$=8x$

Exams
Articles
Questions