If you are given the function f(x) = 10-3x and g(x) = (x-3)/2 , find the value of the composite function gf(4) ?

The composite function can be thought of as if the function f(x) is the variable for the function g(x) instead of x. So first you find the value of the function f(4),f(4) = 10 - (3x4) = 10 - 12 = -2Now that we have found the value of f(4) we have found what we need to substitute as the variable into g(x) instead of x.gf(4) = (-2-3)/2 = -5/2 = -2.5

HL
Answered by Hajerah L. Maths tutor

3663 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Show that (sqrt(3) + sqrt(75))^{2} = 108


Pythagoras' Theorem


Solve the simultaneous equations: 2x + y = 18, x - y = 6


Solve x^2 - 2x - 15 = 0


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:

© 2025 by IXL Learning