Question: The function f: x 1 + cos 2x is defined for the domain 0 x /2. i) Solve the equation 2f(x) = 3.

The function f: x ↦1 + cos 2x is defined for the domain 0 ≤ x ≤ π/2.

i) Solve the equation 2f(x) = 3.

ii) Sketch the graph of y = f(x).

iii) State the range of the function f.

iv) State the domain and range of the
function f−1.
The function g: x ↦ 3 − x is defined for the domain x ∈ R.

v) Sketch the graph of y = gf(x).

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i To solve 2fx 3 we first write the function fx as fx 1 cos 2x Then we can solve for x as follows 2f... View full answer

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