MHB F(x) = x2-7 and g(x) = x- 3, find (f º g )(x) [2]

  • Thread starter Thread starter trevor
  • Start date Start date
Click For Summary
To find (f º g)(x), substitute g(x) into f(x), resulting in (x - 3)² - 7. For (g º f)(x), substitute f(x) into g(x), yielding x² - 7 - 3. The discussion also touches on finding the inverse functions f⁻¹(x) and g⁻¹(x), but the focus remains on the composition of the functions. The user expresses confusion about the notation and seeks clarification on how to proceed with the calculations. Understanding function composition is crucial for solving these problems effectively.
trevor
Messages
6
Reaction score
0
Let f(x) = x2-7 and g(x) = x- 3
Find:
i. (f º g )(x) [2]
ii. (g º f) (x) [2]
iii. f-1 (x) = g-1(x)
 
Mathematics news on Phys.org
trevor said:
Let f(x) = x2-7 and g(x) = x- 3
Find:
i. (f º g )(x) [2]
ii. (g º f) (x) [2]
iii. f-1 (x) = g-1(x)

Hi trevor. What have you tried so far? :)
 
Joppy said:
Hi trevor. What have you tried so far? :)

I am clueless
 
(f o g)(x) means f(g(x)). That means, you replace the value in f(x) with g(x), thus your x2 - 7 will become (g(x))2 - 7. Can you continue from here?
 

Similar threads

I Is g(x) Equal to g(a) If Their Integrals Are Equivalent?
  • · Replies 20 ·
Replies
20
Views
2K
A Why the triangle inequality is greater than the 2 max{f(x),g(x)}
  • · Replies 1 ·
Replies
1
Views
1K
I Why fixed point iteration of ##x^3 = 1-x^2## doesn't converge when ##x_0= 0##
  • · Replies 16 ·
Replies
16
Views
724
MHB Solving 8 Roots: Can 3 Quadratic Polynomials Fulfill $f(g(h(x)))=0$?
  • · Replies 1 ·
Replies
1
Views
1K
MHB [ASK] Seemingly Simple Limit Question but I have no Idea
  • · Replies 2 ·
Replies
2
Views
1K
MHB How to Solve a Composition of Functions g(f(x))?
  • · Replies 9 ·
Replies
9
Views
2K
MHB Solving g(x)-h(x) <0: Find a, b, c, d
  • · Replies 2 ·
Replies
2
Views
1K
MHB Proving Equivalence of f(x) and g(x)
  • · Replies 5 ·
Replies
5
Views
1K
MHB Max Value of $b$ for Real Roots of $f(x)$ and $g(x)$
  • · Replies 2 ·
Replies
2
Views
1K
B Proof of Chain Rule: Understanding the Limits
  • · Replies 3 ·
Replies
3
Views
1K