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3 years ago

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

Mathematics

1 answer:

kakasveta [241]3 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

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3 years ago

10.1 and 10.15 witch one is greater

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Answer:

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40 pts and Brainliest pls give detailed answer :)

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Answer:

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Step-by-step explanation:

So I attached a diagram that illustrates the triangle that is formed. We know an angle, as well as the hypotenuse. We are looking for the height, or in other words the opposite side of the angle. There is a trigonometric function defined as: $sin(\theta) = \frac{opposite}{hypotenuse}$ . Using this we can plug in known values and solve for the opposite side, which I'll simply represent as x.

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2 years ago

Y is directly proportional to x when y=30, x=6

rosijanka [135]

Answer:

a) y = 5x

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Step-by-step explanation:

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$\therefore \: y \: \alpha \: \: x \\ \therefore \: y = kx ...(1) \\ plug \: y = 30 \: and \: x = 6 \: in \: eq \: (1)\\ 30 = k \times 6 \\ k = \frac{30}{6} \\ k = 5 \\ plug \: k = 5 \: in \: (1) \\ y = 5x....(2) \: (required \: equation) \\ plug \: x = 12 \: in \: eq \: (2) \\ y = 5 \times 12 \\ \huge \red{ \boxed{y = 60}}$

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