Let f(x)=x²+4 and g(x)=3x+5 Find the expression
(f ºg)(x) =
(f °g)(x) = f[g(x)] = f[3x + 5] = (3x + 5)² + 4 = 9x² + 30x + 29
( f o g ) ( x )
f ( 3 x + 5 )
( 3x + 5 )^2 + 4
9x^2 + 30 x + 29
(fog)(x) = f(g(x))
f(g(x)) = (3x + 5)^2 + 4 = (9x^2 + 30x + 25) + 4 = 9x^2 + 30x + 29
The other guys wrong
f(g(x))= (3x+5)^2+4
f(g(x))= 9x^2+30x+29
to solve (fog)(x), u'l hv to substitute the value of g(x) at the place of all the x in f(x)....
proceed like.... (fog)(x)= (3x+5)^2 + 4
=> (fog)(x)= [9(x^2) + 30x + 25] +4
=> (fog)(x)= 9 (x^2) + 30x + 29
(f o g)(x)=f {g(x)}
{(3x+5)^2}+4
9x^2+30x+29
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Verified answer
(f °g)(x) = f[g(x)] = f[3x + 5] = (3x + 5)² + 4 = 9x² + 30x + 29
( f o g ) ( x )
f ( 3 x + 5 )
( 3x + 5 )^2 + 4
9x^2 + 30 x + 29
(fog)(x) = f(g(x))
f(g(x)) = (3x + 5)^2 + 4 = (9x^2 + 30x + 25) + 4 = 9x^2 + 30x + 29
The other guys wrong
f(g(x))= (3x+5)^2+4
f(g(x))= 9x^2+30x+29
to solve (fog)(x), u'l hv to substitute the value of g(x) at the place of all the x in f(x)....
proceed like.... (fog)(x)= (3x+5)^2 + 4
=> (fog)(x)= [9(x^2) + 30x + 25] +4
=> (fog)(x)= 9 (x^2) + 30x + 29
(f o g)(x)=f {g(x)}
{(3x+5)^2}+4
9x^2+30x+29