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2 years ago

If f(x)=3x−2 and g(x)=x2−5, what is g(f(2))?

Mathematics

1 answer:

Vikki [24]2 years ago

8 0

Answer:

g(f(2)) = 11

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 3x - 2

g(x) = x² - 5

Step 2: Find g(f(2))

f(2)

Substitute in x: f(2) = 3(2) - 2
Multiply: f(2) = 6 - 2
Subtract: f(2) = 4

g(f(2))

Substitute in x: g(4) = 4² - 5
Exponents: g(4) = 16 - 5
Subtract: g(4) = 11

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3 years ago

If 11 - 3x = x, then 20x=

dimaraw [331]

Answer:

20x = 55

Step-by-step explanation:

First you have to add 3x to both sides of 11-3x=x

$11-3x=x\\+3x=+3x\\11=4x$

Now that you have 11 = 4x you divide 4 on both sides $\frac{11}{4} =\frac{4x}{4}$

11/4 = x

But you can't divide 11 by 4 unless you are looking for the decimal form of 11/4 which is 2.75

so now we take 11/4 or 2.75 depending on if you need your answer in fraction or as a decimal and replace that with x however both will equal the number 55

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4 0

2 years ago

gordan is twice as old as tony was when gordan was as old as tony is now. combined age of gordan and tony is 112 years. how old

Neporo4naja [7]

Gordan is 67 and Tony is 45 years old

5 0

3 years ago

Read 2 more answers

Please help asap!:) Thank you!

finlep [7]

Answer:

(f + g)(3) = 9

Step-by-step explanation:

Given:

f(x) = x² + 1

g(x) = x - 4

Required:

(f + g)(3)

SOLUTION:

✔️Find f(3) by substituting x = 3 into f(x) = x² + 1:

f(3) = (3)² + 1 = 9 + 1

f(3) = 10

✔️Find g(3) by substituting x = 3 into g(x) = x - 4:

g(3) = 3 - 4

g(3) = -1

✔️Find (f + g)(3):

(f + g)(3) = f(3) + g(3)

= 10 + (-1)

= 10 - 1

(f + g)(3) = 9

4 0

2 years ago

98x24(100-2)x24 using the distributive property

boyakko [2]

Answer:

98 x 24 = 2352

2352 x 2400 = 5,644,800

2352 x (-48) = - 112,896

5,644,800 - 112,896 = 5,531,904

5,531,904 x 24 = 132,765,696

Step-by-step explanation:

8 0

2 years ago