Given the functions f(x) = (x + 2)/9 and g(x) = x^3 + 6, find fg(x).

Firstly, fg(x) could be written as f[g(x)], or in other words, the function f acts on the result of x going through the function g (Bear in mind that I'm using the square brackets only because it's easier to see). Hence, we could write fg(x) as f(x3 + 6). This is the same as writing [(x3 + 6) + 2]/9 because you're applying the function f to (x3 + 6) instead of just x. So this would give a final answer of fg(x) = [(x3 + 6) + 2]/9.

JJ
Answered by Josh J. Maths tutor

5168 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Let a = 4b + 5(c - b). Find the value of c when a = 8 and b = 7.


explain and show how quadratic equations are solved


How do you work out the circumference and area of a circle?


Simplify: 5a + 2 – a + 9


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning