All categories

2 years ago

Given f(x) = 5x + 7,g(x) = 3x-1 find f(g(x))

Mathematics

1 answer:

kakasveta [241]2 years ago

7 0

Answer:

f(g(x)) = 15x + 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Algebra I

Functions
Function Notation
Composite Functions

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 5x + 7

g(x) = 3x - 1

Step 2: Find

Substitute in functions: f(g(x)) = 5(3x - 1) + 7
[Distributive Property] Distribute 5: f(g(x)) = 15x - 5 + 7
[Addition] Combine like terms: f(g(x)) = 15x + 2

You might be interested in

I NEED HELP PLEASE, THANK YOU!

bixtya [17]

Answer:

$\sqrt{37}$

Step-by-step explanation:

To find the distance between a point (m, n ) and the line

Ax + By + C = 0

d = $\frac{|Am +Bn+C|}{\sqrt{A^2+B^2} }$

Here (m, n) = (6, 2) and rearranging the line

6x - y + 3 = 0 ← in general form

with A = 6, B = - 1 and C = 3 , then

d = $\frac{|6(6)-1(2)+3|}{\sqrt{6^2+(-1)^2} }$

= $\frac{|36-2+3|}{\sqrt{36+1} }$

= $\frac{37}{\sqrt{37} }$

Rationalise the denominator by multiplying numerator/ denominator by $\sqrt{37}$

= $\frac{37}{\sqrt{37} }$ × $\frac{\sqrt{37} }{\sqrt{37} }$

= $\frac{37\sqrt{37} }{37}$ ← cancel 37 on numerator/ denominator

= $\sqrt{37}$

5 0

2 years ago

Read 2 more answers

In the population of a particular country, the male-to-female ratio is 46 to 54. Write this ratio as a fraction in simplest form

Helen [10]

23/27 because 46/54 diveded by 2 equals 23/27 which can not be simplified any further

5 0

3 years ago

Lim wrote several pairs of values that he thought were equivalent. Which of his equations is correct?

Annette [7]

Answer:

I believe the correct answer would be A: 3/5 = 60

Step-by-step explanation:

Firstly, the second option is wrong because 0.06 would be 6 hundredths, so that is wrong, the third option would be incorrect because 0.002 would equal 2 thousandths so that is also wrong, and the fourth option would be 25% instead of 75%, so your answer should be A.

7 0

2 years ago

HELP ME PLSSS OMG OMG PLS THIS IS A BIG LART OF MY GRADE ON A TWST AND I RLLY RLLY NEED IT PLE HELP

Elza [17]

Answer: The answer is B.

6 0

2 years ago

Read 2 more answers

What is the area of the figure

S_A_V [24]

Answer:

24 cm