Find the formulas for (f o g)(x) if...? ?

Question

....... [ 1, if x<0

f(x) = I 2(x^2), if 0< or equal to x < or equal to 1

.........[ 1, x>1

.........[ 2, if x<0

g(x)=I 3x, if 0< or equal to x <or equal to 1

.........[ 2, if x> 1

ignore the periods, it was just there to get the format in correctly!

Thanks!

Answer 1

Hi,

In (fog)(x) every x in f(x) is replaced by the expression that is the value of g(x). When there are no x vaklues in f(x), the constant value of f(x) stays the same.

....... ..... [ 1, if x&lt;0

(fog)(x) = I 2((3x)^2), if 0&lt; or equal to x &lt; or equal to 1

......... ....[ 1, x&gt;1

....... ..... [ 1, if x&lt;0

(fog)(x) = I 18x², if 0&lt; or equal to x &lt; or equal to 1 &lt;==ANSWER

......... ....[ 1, x&gt;1

I hope that helps!! :-)