A Level

MATHEMATICS · Multi-part · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Let

f(x) = 2x^2 + 10x + 7, x \in \mathbb{R}

. (1) Find the largest possible domain of the form

x \le k

for which the inverse function,

f^{-1}

, exists. (2) For the value of

k

from part a, find the inverse function

f^{-1}(x)

, stating its domain.

Related theory

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