💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

Express the function in the form $f \circ g$.$G(x) = \sqrt[3]{\dfrac {x}{1 + x}}$

$f(x)=\sqrt[3]{x}$$g(x)=\frac{x}{x+1}$

Discussion

You must be signed in to discuss.
Lily A.

Johns Hopkins University

Catherine R.

Missouri State University

Kayleah T.

Harvey Mudd College

Kristen K.

University of Michigan - Ann Arbor

Lectures

Join Bootcamp

Video Transcript

all right here we have capital G of X, and we want to think of G of X as a composition of F of G. Another way to write that is with parentheses. F of g of X. So from that we can see that G is the inside function and F is the outside function and there are actually many different ways. We could do this problem correctly. We'll just go over the most obvious one. So the inside function could be what we see inside this cube root sign so we could let g of x b the quotient X over one plus X. And if that's the case, then what's the outside? The outside would be the cube root function, so the outside function F of X would be the cube root of X.

Oregon State University
Lily A.

Johns Hopkins University

Catherine R.

Missouri State University

Kayleah T.

Harvey Mudd College

Kristen K.

University of Michigan - Ann Arbor

Lectures

Join Bootcamp