Answer:
<em>Examples below</em>
Step-by-step explanation:
We have the fraction

It's required to multiply it by any fraction less than 1. Let's select the following fractions. All of them are less than 1 because the numerator is less than the denominator:



The required products are:



Answer:
f⁻¹(x) = (x - 1)/8
Or
f⁻¹(x) = 1/8 x - 1/8
Step-by-step explanation:
To find the inverse of a function, switch the "x" and "y" variables, then isolate "y".
Remember <u>"f(x)" is the same thing as "y"</u>. Change from function notation to "y".
f(x) = 8x + 1
y = 8x + 1
<u>Switch the "x" and "y" variables</u>
x = 8y + 1
<u>Isolate "y"</u>. Move the "y" variable to the left for standard formatting
8y + 1 = x
8y + 1 - 1 = x - 1 Subtract 1 from both sides
8y = x - 1
Divide both sides by 8 and simplify
Inverse equation
Slope-intercept form
<u>Use function notation</u>, change "y"
Simplified
Slope-intercept form
Answer:
x = -10
Step-by-step explanation:
3(x+1) +5 = 2x -2
<em>Distribute the 3 to the x+1</em>
3x+3 +5 = 2x -2
<em>Combine like terms</em>
3x + 8 = 2x -2
<em>Subtract 2x from both sides</em>
x + 8 = -2
<em>Subtract 8 from both sides</em>
x = -10
Hope this helps!
Answer:
a = 10
Step-by-step explanation:
a = 10
Divide -5 on both sides