Domain of - 5 : x ≥ 25 .
Range of √x - 5 : y ≥ -5 .
Given,
f(x) = √x - 5
Here,
To find the domain,
√x - 5 ≥ 0
√x ≥ 5
Squaring both sides ,
x ≥ 25 .
Thus domain of √x - 5 is x ≥ 25 .
Range of √x - 5,
To define the range of the function the value of x can not be negative as it will make the function complex .
So,
Range will be ,
y ≥ -5 .
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The value of expression is,
⇒ (2m - 8)² = 4m² - 24m + 64
An algebraic equation with the second degree of the variable is called an Quadratic equation.
Given that;
The expression is,
⇒ (2m - 8)²
Now,
We know that,
The formula is,
⇒ (a - b)² = a² - 2ab + b²
Hence, We get;
⇒ (2m - 8)² = (2m)² - 2 × 2m × 8 + (8)²
= 4m² - 24m + 64
Thus, The value of expression is,
⇒ (2m - 8)² = 4m² - 24m + 64
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2. g(x) has the highest value in 3 years; f(x) has the highest value in 10 years
3. f(x) has the highest value in 3 years; f(x) has the highest value in 10 years
4.g(x) has the highest value in 3 years; g(x) has the highest value in 10 years
Answer: 1. f(x) has the highest value in 3 years; g(x) has the highest value in 10 years
Step-by-step explanation:
Given:- Principal amount= $150
First account represented by the function=→Linear function
Second account represented by the function=→Exponential function
where x is the time period in years.
When x=3 years
here, f(x) has the highest value .
When x=10 years
g(x) has the highest value.
Therefore, f(x) has the highest value in 3 years; g(x) has the highest value in 10 years