Question
\(f(x) = \frac{x}{4} – 3\) g(x) = 6x – 7 \(h(x)=2^x\)
(a) Work out the value of x when f(x) = -0.5
x = …………….
(b) Find \(g^{-1}(x)\).
\(g^{-1}(x)\) = ……………..
(c) Work out the value of x when h(x) = f(13).
Answer/Explanation
Ans:
(a) 10
(b) \(\frac{x+7}{6}\) final answer
(c) -2
Question
f(x) = 5 -2x \(g(x) = x^{2} + 8\)
(a) Calculate ff(-3).
………………………………………
(b) Find
(i) g(2x),
……………………………………….
(ii) \(f^{-1}(x).\)
\(f^{-1}(x) = ………………………………………. \)
Answer/Explanation
(a) −17
(b)(i)\(4x^{2}+8\)
(ii)\(\frac{5-x}{2}\)
Question
f(x)=7+3x \(g(x)=x^{4}\) \(h(x)=3^{x}\)
(a) \(h(3x)=k^{x}\)
Find the value of k.
k = …………………………………………
(b) Find the value of x when f(x)=g(2).
x = …………………………………………
(c)Find \(f^{-1}(x).\)
\(f^{-1}(x)=\)………………………………….
Answer/Explanation
(a) 27
(b) 3
(c)\(\frac{x-7}{3}\) final answer