Math  /  Algebra

QuestionSuppose that f(x)=6x1f(x)=6 x-1 and g(x)=3x+8g(x)=-3 x+8 (a) Solve f(x)=0f(x)=0. (c) Solve f(x)=g(x)f(x)=g(x). (b) Solve f(x)>0f(x)>0. (e) Graph y=f(x)y=f(x) and y=g(x)y=g(x) and find the point that represents the solution to the equation f(x)=g(x)f(x)=g(x). (a) For what value of xx does f(x)=0f(x)=0 ? x=16x=\frac{1}{6} (Type an integer or a simplified fraction.) (b) For which values of xx is f(x)>0f(x)>0 ? \square (Type your answer in interval notation. Use integers or fractions for any numbers in the expression.)

Studdy Solution
Graph y=f(x) y = f(x) and y=g(x) y = g(x) . The point of intersection is the solution to f(x)=g(x) f(x) = g(x) .
The intersection point is (1,5) (1, 5) .
Solution Summary: (a) x=16 x = \frac{1}{6} (b) x>16 x > \frac{1}{6} (Interval notation: (16,) \left(\frac{1}{6}, \infty\right) ) (c) x=1 x = 1 (e) Intersection point: (1,5) (1, 5)

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