Final answer:
To find x when f(x)=-77 for the function f(x) = 8/15x - 29, solve the resulting linear equation which yields x = -90.
Step-by-step explanation:
The question asks to find the value of x when f(x) = -77 for the given function f(x) = 8/15x - 29. To solve for x, we can set the function equal to -77 and solve the resulting equation:
f(x) = -778/15x - 29 = -77
First, add 29 to both sides of the equation:
8/15x = -77 + 29
8/15x = -48
Then, multiply both sides by the reciprocal of 8/15 to isolate x:
x = (-48) \(\frac{15}{8}\)
Simplify the right side:
x = -90
Therefore, x equals -90 when f(x) = -77. This is a linear equation problem involving solving for a variable.
The SEO keywords linear equation, solving for a variable, and function are relevant to understanding the process and identifying the type of problem presented in the question.