smntcani
smntcani smntcani
  • 12-02-2022
  • Mathematics
contestada

Given f (g (x)) = x + 4 and f (x) = 3x + 5, find g (x).​

Respuesta :

semsee45
semsee45 semsee45
  • 12-02-2022

Answer:

g(x) = [tex]\frac{1}{3}(x - 1) = \frac{x}{3} - \frac{1}{3}[/tex]

Step-by-step explanation:

f(x) = 3x + 5

f[g(x)] = 3[g(x)] + 5

⇒  3[g(x)] + 5 = x + 4

⇒  3[g(x)] = x + 4 - 5

⇒  3[g(x)] = x - 1

⇒  g(x) = [tex]\frac{1}{3}(x - 1) = \frac{x}{3} - \frac{1}{3}[/tex]

Answer Link

Otras preguntas

What is the volume of this pyramid?
if i made 80 dollars every weekend for a year, how much would i have​
What kind of rocks are found by coal? What kind of rocks are found by copper? What kinds of rocks are found by salt?
THE SELECTIVE LAZINESS OF HUMAN REASONING common lit
EXPLAIN THE ANSWER AND I WILL GIVE BRAINLIEST:
Write a recursive method named editDistance that accepts string parameters s1 and s2 and returns the "edit distance" between the two strings as an integer. Edit
The manager of a home store is buying lawn chairs to sell at his store. Each pack of chairs contains 10 chairs. The manager will sell each chair at a markup of
Please help, I have no idea what is happening!!! Perform the indicated operation.
Fred takes out a mortgage for $60,000 at 7% for 20 years. What are his monthly payment, the total amount paid, and the cost of the mortgage?
Can someone help me please brainliest for the correct answer