Mathematics

Mathematics

Problem

Consider the quadratic function

f(x)=kx^{2}-5x+1

, where

k

is a real constant. a. If

f(2)=7

, determine the value of

k

. b. Using the value of

k

obtained in part (i), calculate

f(0)

and

f(-3)

. c. Evaluate

f\bigl(f(1)\bigr)

with the same value of

k

. Show each step of your working.

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