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2 years ago

Given g(x)=5x+4, solve for x when g(x)=9

Mathematics

1 answer:

Alex2 years ago

8 0

Answer:

The value of x is equal to 1, written as x = 1.

General Formulas and Concepts:
Algebra I

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Terms/Coefficients

Functions

Function Notation

Step-by-step explanation:

Step 1: Define

g(x) = 5x + 4

g(x) = 9

Step 2: Solve for x

Substitute in function value: 9 = 5x + 4
[Subtraction Property of Equality] Subtract 4 on both sides: 5 = 5x
[Division Property of Equality] Divide 5 on both sides: 1 = x
Rewrite: x = 1

∴ when the function g(x) equals 9, the value of x that makes the function true would be x = 1.

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Topic: Algebra I

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Read 2 more answers

In an input/output table, all outputs are 0, regardless of the input. What could the function equation be? Select all that apply

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Answers:

choice A) y = 0x

choice D) y = 0/x

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Explanation:

Choice A is the same as y = 0 because 0x turns into 0. Multiplying 0 with any number always leads to 0.

Similarly, choice D is the same as y = 0 as well. Dividing 0 over any nonzero value leads to 0. Note the key term "nonzero" here. We cannot have 0 in the denominator. So x = 0 is not allowed for choice D.

So for any nonzero x, we have 0x and 0/x result in the same thing.

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Extra info:

Choice B can be ruled out because something like x = 2 leads to y = 2.

Choice C is ruled out because we can never have 0 in the denominator.

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