Answer:
f(29) = - [tex]\frac{9}{290}[/tex]
Step-by-step explanation:
Step 1: substitute f(29) into the equation.
f(29) = 2(29 - 20)²⁻³
29 replaces x.
Step 2: simplify the exponent
f(29) = 2(29 - 20)⁻¹
2-3 is -1, so the exponent is -1
Step 3: distribute the exponent to the parentheses
f(29) = 2([tex]\frac{1}{29}[/tex] - [tex]\frac{1}{20}[/tex])
Since the exponent is a negative one, basically make it a fraction with the base as the denominator and the exponent as a numerator. I don't know too much about negative exponents, but this is how to factor in a -1.
Step 4: Distribute.
f(29) = [tex]\frac{2}{29} -\frac{2}{20}[/tex]
Step 5: Simplify before finding a common denominator (2/20 cancels out)
f(29) = 2/29 - 1/10
Step 6: Find a common denominator (290)
f(29) = [tex]\frac{20}{290}[/tex] - [tex]\frac{29}{290}[/tex]
Step 7: Simplify
f(29) = - [tex]\frac{9}{290}[/tex]
TBH I'm not sure this is correct, but I hope this helps =)
