1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
SCORPION-xisa [38]
3 years ago
12

Please help ASAP If f(x) = x^2-6x+2 and g(x) =sqrt x find a.) (fog) (x) b.) (gof) (-2)

Mathematics
1 answer:
Rudik [331]3 years ago
7 0
\large\begin{array}{l} \left\{\!\begin{array}{l} \mathsf{f(x)=x^2-6x+2}\\ \mathsf{g(x)=\sqrt{x}}\\ \end{array}\right. \end{array}


\large\begin{array}{l} \textsf{a) }\mathsf{(f\circ g)(x)}\\\\ =\mathsf{f\big[g(x)\big]}\\\\ =\mathsf{\big[g(x)\big]^2-6\cdot g(x)+2}\\\\ =\mathsf{\big[\sqrt{x}\big]^2-6\sqrt{x}+2}\\\\\\ \therefore~~\boxed{\begin{array}{c}\mathsf{(f\circ g)(x)=x-6\sqrt{x}+2} \end{array}}\qquad\checkmark \end{array}

______


\large\begin{array}{l} \textsf{b) }\mathsf{(g\circ f)(-2)}\\\\ =\mathsf{g\big[f(-2)\big]}\\\\ =\mathsf{\sqrt{f(-2)}}\\\\ =\mathsf{\sqrt{(-2)^2-6\cdot (-2)+2}}\\\\ =\mathsf{\sqrt{4+12+2}}\\\\ =\mathsf{\sqrt{18}}\\\\ =\mathsf{\sqrt{3^2\cdot 2}}\\\\ =\mathsf{3\sqrt{2}}\\\\\\ \therefore~~\boxed{\begin{array}{c}\mathsf{(g\circ f)(-2)=3\sqrt{2}} \end{array}}\qquad\checkmark \end{array}

______


If you're having problems understanding this answer, try seeing it through your browser: brainly.com/question/2181559


\large\textsf{I hope this helps. :-)}


Tags: <em>composite function composition evaluate algebra</em>

You might be interested in
The landscaper pours 200 gallons of herbicide in a pond. The herbicide degrades 10% each week. How much will be in the pond afte
weeeeeb [17]

Answer:

180 gallons

Step-by-step explanation:

200 gal

10% = .10

200 x .10 = 20

200 - 20 = 180


5 0
3 years ago
Read 2 more answers
If <br> f(x) = 7 sec x − 5x, find f '(x).
Lena [83]
F'(x) = 7sec x . tan x - 5.
6 0
3 years ago
What is the value of the function f(x) = 1.5x + 7.6 when x = 1.1?
Triss [41]
So the equation is 1.5(1.1) +7.6


1. Multiply 1.5* 1.1 = 1.65

2. Add 1.65 +7.6= 9.25


I would have to say the answer is 9.25
7 0
3 years ago
Read 2 more answers
PLZ HELP ILL GIVE YOU 10 POINTS
nikklg [1K]

Answer:

the one you have picked is the proper answer

7 0
3 years ago
Read 2 more answers
Whats 2+2 lollololololololololololololololololololo
ra1l [238]

Answer:

4ssssssssssssssssssssssssssss

5 0
2 years ago
Other questions:
  • PLEASE HELP!!!!
    14·2 answers
  • Jordan is three years older than four times Lily's age. The sum of their age is 68. How old is Jordan?
    15·1 answer
  • 3 yards of fabric for $13.47
    14·2 answers
  • 0.099
    14·1 answer
  • Annalisa, Keiko, and Stefan want to compare their heights. Annalisa is 64 inches tall. Stefan tells her, "I'm about 7.5 centimet
    15·2 answers
  • Which expression can be used to find 15% of 20?
    9·1 answer
  • A local weather station forecasted 93% chance of rain on a weekend what is the probability that it will not rain on the weekend?
    11·1 answer
  • What is the constant of proportionality, y/X
    12·1 answer
  • A ruler costs pence.
    11·1 answer
  • I need help with this question​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!