Answer:
f'(x) = (x + 1)/15
Step-by-step explanation:
f(x) = 15x -1,
Think of the term "f(x)" as a single variable, then solve for the term "x", manipulate the equation like how one would manipulate a literal equation, by inverse operations.
f(x) = 15x - 1
+1 +1
f(x) + 1 = 15x
/15 /15
(f(x) + 1)/15 = x
This means that (denote in the way one would denote an inverse of a function);
f'(x) = (x + 1)/15
Answer:
1.) 7. (7 x 7 = 9)
2.) IDK, sorry
3.) 8/27
Apply the product rule to 2/3
2^3/ 3^3
Raise 2 to the power of 3.
8/27
4.) 9
1. Exponentiation: 3 ^ 4 = 81
2. Exponentiation: 3 ^ (-2) = 0.111111111111 = 1/9
3. Multiple: the result of step No. 1 * the result of step No. 3 = 81*1/9 = 81 · 1/1 · 9 = 81/9 = 9 · 9/1 · 9 = 9
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(81, 9) = 9. Cancelling by a common factor of 9 gives 9/1.
In words - eighty-one multiplied by one ninth = nine.
4. Exponentiation: 3 ^ 0 = 1
5.Multiple: the result of step No. 4 * the result of step No. 5 = 9 * 1 = 9
5.) 1/125
5 ^ (-3) = 0.008 = 1/125
6.) IDK, sorry
If 4x = 8x - 1 then 4x must be equivalent to 1. So that means x is .25 or 1/4.
Hope this helps!
(I assumed your trying to solve for x, please word the question better next time)
The answer is going to be 14.125 in decimal form
