Question

Look at the picture for the questions

I got -3.8 and 2.4 but it says it’s wrong so I confused pls help

Answer 1

Answer: I got the same thing. -3.8 and 2.4

Step-by-step explanation:

1. 2/3(x+1) if x=-6.7, 2/3(-6.7+1), 2/3(-5.7), -3.8
2. -2(x-3)+1 if x=2.3, -2(2.3-3)+1, -2(-0.7)+1, 1.4+1, 2.4

Answer 2

Answer:

$f(-6.7)=-3.8=-\dfrac{19}{5}$

$f(2.3)=2.4=\dfrac{12}{5}$

Step-by-step explanation:

To find f(-6.7), we can substitute x = -6.7 into function f(x):

$f(-6.7)=\dfrac{2}{3}(-6.7+1)$

$f(-6.7)=\dfrac{2}{3}(-5.7)$

$f(-6.7)=\dfrac{2(-5.7)}{3}$

$f(-6.7)=-\dfrac{11.4}{3}$

$f(-6.7)=-3.8$

To express this as a fraction, multiply and divide -3.8 by 10 to remove the decimal:

$f(-6.7)=-\dfrac{3.8 \cdot 10}{10}$

$f(-6.7)=-\dfrac{38}{10}$

Now, reduce the fraction to its simplest form by dividing the numerator and denominator by the greatest common factor 2:

$f(-6.7)=-\dfrac{19}{5}$

$\hrulefill$

To find f(2.3), we can substitute x = 2.3 into function f(x):

$f(2.3)=-2(2.3-3)+1$

$f(2.3)=-2(-0.7)+1$

$f(2.3)=1.4+1$

$f(2.3)=2.4$

To express this as a fraction, multiply and divide 2.4 by 10 to remove the decimal:

$f(2.3)=\dfrac{2.4\cdot 10}{10}$

$f(2.3)=\dfrac{24}{10}$

Now, reduce the fraction to its simplest form by dividing the numerator and denominator by the greatest common factor 2:

$f(2.3)=\dfrac{12}{5}$