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
choli [55]
3 years ago
8

Expressing the given functions

Mathematics
1 answer:
OLga [1]3 years ago
4 0
\bf \begin{cases}
f(x)=x^2\\
g(x)=7x-5
\end{cases} \qquad (f\circ g)(x)\iff f(\ g(x)\ )
\\\\\\
f(\ g(x)\ )=[g(x)]^2\implies f(\ g(x)\ )=(7x-5)^2\impliedby h(x)
You might be interested in
Given: cos α = 4/5, sin β= 4/5, and α and β are both in quadrant 1. find sin (α+β)
mezya [45]
We have the formula (sin x)^2 + (cos x)^2 = 1;
Then, sin α = \sqrt{1-  ( \frac{4}{5}) ^{2} } =  \frac{3}{5} ;
cos β = \sqrt{1- ( \frac{4}{5}) ^{2} } = \frac{3}{5} ;
We apply the formula sin ( α + β ) = sin α x cos β + sin β x cos α = (3/5)x(4/5) + (4/5)x(3/5) = 12/25 + 12/25 = 24/25;
8 0
4 years ago
2. What is gross income? What types of income are included in gross income?
gogolik [260]
Gross income is all a persons receipts and gains from all sources before any deductions.
8 0
3 years ago
Write a rational function with no vertical asymptotes and no holes. Please explain.
Ksju [112]

ANSWER

f(x) =  \frac{ {x}^{2} }{ {x}^{2} + 1 }

EXPLANATION

We write the function such that both the numerator and the denominator are prime.

An example of a rational function with no vertical asymptotes and no holes is

f(x) =  \frac{ {x}^{2} }{ {x}^{2} + 1 }

For the above rational function, the denominator is never zero, so there are no vertical asymptotes.

Also the highest common factor for the numerator and the denominator is 1 so there are no holes.

4 0
3 years ago
Nick,Sarah and Gavyn share some sweets on the ratio 6:2:1. Nick gets 30 more sweets than Gavyn. How many sweets does Sarah get?​
nydimaria [60]

Answer:

12

Step-by-step explanation:

N:S:G

6:2:1

Nick gets 30 more sweets than Gavyn, therefore we can say that.

6x=x+30\\5x=30\\x=6

As Sarah gets twice the amount of sweets that Gavyn does.

2(6)=12

3 0
3 years ago
am • an = am + n, where a is a real number and m and n are integers Use the product of powers property to simplify the expressio
Maru [420]
1. Take out the constants
-(2 x 3 x 4 x 2)xxyy^3
2. Simplify 2 x 3 x 4 x 2 to 48
-48xxyy^3
3. Use Product Rule: x^ax^b = x^a+b
-48x^1+1y^1+3
4. Simplify 1 + 1 to 2
-48x^2y^1+3
5. Simplify 1 + 3 to 4
-48x^2y^4
9 0
3 years ago
Read 2 more answers
Other questions:
  • Given f(x)=4x2−5 and g(x)=x+3 .<br><br> What is (fg)(x) ?
    6·2 answers
  • Can someone help me with this question
    8·1 answer
  • Solution for 11m-8m=
    6·2 answers
  • 4 quarters are equal in value to 20 nickels.
    5·1 answer
  • A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. He started at 90 9090 kilograms and g
    12·1 answer
  • Fill in the blanks below in order to justify whether or not the mapping
    6·1 answer
  • 2x^134 -7x^45+x^9-4/x+1
    6·1 answer
  • Each month, Jeremy adds the same number of cards to his baseball card collection. In Jeremy, he had 36. 48 in February. 60 in Ma
    14·1 answer
  • Determine the corresponding ordered pair of the point on the circle for the following angle: 1890
    11·1 answer
  • Solve for X on both images <br> (25 points)
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!