abigailhernandez1242 abigailhernandez1242
  • 18-03-2022
  • Mathematics
contestada

Two functions are defined as follows: f : x → 2x - 3 and g : x → x2 - 1
(i) Calculate f(5)
(ii) g( - 3) =
(iii) fg(x)=
(iv)gf(x)=
(v) f-1(x)=

Respuesta :

hydrgn
hydrgn hydrgn
  • 18-03-2022
f(5) = 2(5)-3 = 7
g(-3) = (-3)2-1 = -7
fg(x) = f(2x-1) = 2(2x-1)-3 = 4x-2-3 = 4x-5
gf(x) = g(2x-3) = 2(2x-3)-1 = 4x-6-1 = 4x-7

let y=f(x)
y=2x-3
make x the subject,
2x=y+3
x = (y+3)/2
f-1(y) = (y+3)/2
f-1(x) = (x+3)/2
Answer Link

Otras preguntas

Help me please will gve you brain liest i promise just help me please!
Consider the curve y = x − x^3, find the slope of the tangent line to the curve at the point (1, 0).
The terms congenital and strangulated are associated with the surgical procedure called
What is the major reservoir of the microbe that causes gas gangrene?
Read the excerpt from "It's Only Fair.” Maritza rolled her eyes. "That’s why we should do our report on Irene Morgan,” she said. "She was the first black person
an indy car driver has to be a certain height to fit into the race car. The following inequality 175<=3x-17<=187, where x represents the height of the dri
Find the value of x. Check the reasonableness of your answer. Please Help Me I don't understand how to do it
Which of the following has not been attributed, at least in part, to social media?
How did the scientific revolution help lead to the Industrial Revolution?
PLEASE Help me with Algebra 2 questions.