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Scrat [10]
3 years ago
12

F(x) = 1 x g(x) = x − 4 Can you evaluate (g ○ f)(0)? Explain why or why not.

Mathematics
2 answers:
nikklg [1K]3 years ago
6 0

Step-by-step explanation:

f(x)=\dfrac{1}{x}\qquad\text{domain}:x\neq0\\\\g(x)=x-4\qquad\text{domain}:x\in\mathbb{R}\\\\(g\circ f)(x)=g\bigg(f(x)\bigg)\Rightarrow (g\circ f)(x)=\dfrac{1}{x}-4\qquad\text{domain}:\ x\neq0\\\\(g\circ f)(0)-\text{we can't calculate it because 0}\\.\qquad\qquad\text{ is not in the function domain.}\\\\\text{The expression}\ \dfrac{1}{0}\ \text{hasn't number sense}

Angelina_Jolie [31]3 years ago
5 0

Answer:

No: heres the sample:

Step-by-step explanation:

To evaluate the composition, you need to find the value of function f first. But, f(0) is 1 over 0, and division by 0 is undefined. Therefore, you cannot find the value of the composition.

have a good day :)

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Step-by-step explanation:

3 0
2 years ago
Write the slope-intercept form of the equation of the line.<br> slope = 1, y, int = -2
choli [55]

Answer:

y = x - 2

General Formulas and Concepts:

<u>Algebra I</u>

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

<u>Step 1: Define</u>

Slope <em>m</em> = 1

y-intercept <em>b</em> = -2

<u>Step 2: Write linear function</u>

y = x - 2

8 0
3 years ago
Read 2 more answers
Find the domain of ( (a+b/b) − (a/a+b))÷( (a+b/a) − (b/a+b) )
Alexandra [31]

Answer:

Hence the domain is given as,b is such that b is a member of all real numbers,except b=0,a=0, a=-b

Step-by-step explanation:

The domain refers to values for which the expression is defined.

This implies that, the denominators are not equal to zero.

(\frac{a + b}{b} -  \frac{a}{a + b}) \div ( \frac{a + b}{a} -  \frac{b}{a + b})

(\frac{(a + b)(a + b)-ab}{b(a + b)})\div(\frac{(a + b)(a + b)-ab}{a(a + b)})

\frac{(a + b)(a + b)-ab}{b(a + b)} \times\frac{a(a + b)}{(a + b)(a + b)-ab}

\implies \frac{a}{b}

Hence the domain is given as,b is such that b is a member of all real numbers,except b=0,a=0, and a=-b

7 0
3 years ago
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Find the slope of the line that passes through (-11, 75) and (27, -9).
Marrrta [24]

Answer:

\frac{y__2-y__1}{x__2-x__1}

y = -9 + 75 = 66

x = 27-(-11) = 27 + 11 = 38

slope = 66/28

5 0
2 years ago
For what values of x is rational expression below undefined x-7/x^2-7x-8
Novay_Z [31]
The values are x = 8 and x = -1.

To find the undefined values, we need to know when the denominator is zero.
To do this, we need to factor it and find the value that would make either factor equal to zero.

If factors to: (x - 8)(x + 1)

Therefore, the undefined values would be at 8 and -1.
8 0
3 years ago
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