Given f(x)= 8 − x^2, solve f(3x) = -28

First substitute (3x) into the equation for f(x), giving f(3x) = 8 - 9x2. This is then equal to -28 and so it is remains to solve the equation 8 - 9x2 = -28. This can be written as 9x2 = 36, dividing through by 9 gives x2 = 4 and so x = ±2.

GG

Related Further Mathematics GCSE answers

All answers ▸

Rationalise and simplify (root(3) - 7)/(root(3) + 1) . Give your answer in the form a + b*root(3) where a, b are integers.


Let y = (4x^2 + 3)^4. Find dy/dx.


This is a question from a past paper: https://prnt.sc/r6jnxc


Solving equations with unknown in both sides