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2 years ago

What is the value of (g o f)(-3)

Mathematics

2 answers:

Assoli18 [71]2 years ago

5 0

The answer is: gof = 1, 1, and 2

Rama09 [41]2 years ago

4 0

f(x) = 4x + 10

f(-3) = 4(-3) + 10 = -12 + 10 = -2

g(x) = 2x - 5

g(f(-3)) = 2(-2) - 5 = -4 - 5 = -9

Answer: -9

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Answer:

b. -84

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

$\displaystyle \frac{a}{-7} - 7 = 5$

Step 2: Solve for a

Addition Property of Equality: $\displaystyle \frac{a}{-7} - 7 + 7 = 5 + 7$
[Simplify] Add: $\displaystyle \frac{a}{-7}= 12$
Multiplication Property of Equality: $\displaystyle -7 \cdot \frac{a}{-7} = 12 \cdot -7$
[Simplify] Multiply: $\displaystyle a = -84$

Step 3: Check

Plug in a into the original equation to verify it's a solution.

Substitute in a: $\displaystyle \frac{-84}{-7} - 7 = 5$
[Frac] Divide: $\displaystyle 12 - 7 = 5$
Subtract: $\displaystyle 5 = 5$

Here we see that 5 does indeed equal 5.

∴ a = -84 is the solution to the equation.

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