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The functions f and g are defined on R , the set of real numbers by f(x) = x^2 - 5x +2, and g(x) = 1 - x. Find h(x) = f(g(x)), and j(x) = g(f(x)).

Part 1: Step 1: Substitute in (1-x) for x in the equation f(x) = x^2 -5x +2 Step 2: Break the brackets Step 3: Collect like terms to simplify Part2: Step 1: Substitute in (x^2 -5x +2) for x in the equatio...

DH
Answered by Daniel H. Maths tutor
9606 Views

How do I approach structuring and planning an essay? For example, how do I answer- 'The education of Miranda and Ferdinand is at the heart of The Tempest' Evaluate this view.

In an exam, having 5-10 minutes to plan an essay can seem daunting! This question in particular at first glance can seem overwhelming. It may seem like there’s not an explicit theme being addressed, and t...

TC
Answered by Tania C. English tutor
3820 Views

How do you solve a quadratic inequality eg find the values of x for which x^2 -6x +2 < -3

First we must change our inequality so that we have a zero on one side, In this case we can add three to both sides of the inequality, this gives: x^2 - 6x +5 < 0 Now let's consider the equation y = x^...

IR
Answered by Isobel R. Maths tutor
4020 Views

Please find X. 5x + 2 = 9

5x + 2 = 9 Bring all the numbers which do not include x to the right hand side. 5x = 9 - 2 5x = 7 Now, to find x, 7 should be divided by 5. x = 7 / 5

EA
Answered by Erato A. Maths tutor
2283 Views

What is the world limit when writing the personal statement?

Your personal statement should not be more than 47 lines or 4000 words.

What to include:

  • why you like the course you chose
  • what makes you a suitable candidate
  • what qu...
EA
2386 Views

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