81165383 81165383
  • 02-11-2020
  • Mathematics
contestada

Problem 3. if f(x) = /2x-5 and g(x) = 5x? -- 3, find (gºf)(x).

(Step by step please<3)

Problem 3 if fx 2x5 and gx 5x 3 find gºfx Step by step pleaselt3 class=

Respuesta :

LammettHash
LammettHash LammettHash
  • 02-11-2020

(1) f(x) = x² - 4x + 2, g(x) = 3x - 7

(f o g) (x) = f(g(x)) = f (3x - 7)

= (3x - 7)² - 4(3x - 7) + 2

= (9x² - 42x + 49) + (-12x + 28) + 2

= 9x² - 57x + 79

(2) g(x) = -6x + 5, h(x) = -9x - 11

(g o h) (x) = g(h(x)) = g (-9x - 11)

= -6(-9x - 11) + 5

= 54x + 66 + 5

= 54x + 71

(3) f(x) = √(2x - 5), g(x) = 5x² - 3

(g o f) (x) = g(f(x)) = g(√(2x - 5))

= 5 (√(2x - 5))² - 3

= 5 (2x - 5) - 3

= 10x - 25 - 3

= 10x - 28

Answer Link

Otras preguntas

what is the value of this expression 1/4−3 ? 12 1/12 64 1/64
Given an integer how do you find its opposite?
simplify three to the negative ninth divided by three to the negative twelfth.
read the following lines from “no dogs bark” “see if you cant see something now. or hear something. youll have to do it from up there , because i feel deaf” “i
What was the significance of the Bronze Age?
water rights along the jordan river were more complicated than in other areas because of __________ between the two countries. economic treaties religious diffe
The ratio of output power to input power, in percent, is called? A. horsepower. B. efficiency. C. work. D. conductivity.
write the equation of a line with a slope of –1 and a y-intercept of –6. y = –x – 6 y = –6x – 1
anti-virus software protects against _____. a. malware b. new programs c. contagious diseases d. errors in documen
simplify. 36÷(3⋅2)−1