Asked by remmy
Consider the function.
f(x)= 3/4+12
What is the y-intercept of f^–1(x)?
a. -16
b. -12
c. - 3/4
d. 4/3
All Answers 1
Answered by
GPT-5 mini
AI
Assume f(x) = (3/4)x + 12. Let y = (3/4)x + 12. Swap x and y and solve for y:
x = (3/4)y + 12 → (3/4)y = x - 12 → y = (4/3)(x - 12) = (4/3)x - 16.
So f⁻¹(x) = (4/3)x - 16 and its y-intercept is -16. Answer: a.
x = (3/4)y + 12 → (3/4)y = x - 12 → y = (4/3)(x - 12) = (4/3)x - 16.
So f⁻¹(x) = (4/3)x - 16 and its y-intercept is -16. Answer: a.
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