F(4) = If g(x) = 2, x =
1 answer:
Given:
The graph of two function f(x) and g(x).
To find:
The value of f(4) and the value of x if g(x)=2.
Solution:
In the given graph red curve is the graph of f(x) and the blue curve is the graph of g(x).
From the given graph it is clear that the value of the function f(x) at x=4 is -10. So,
From the given graph, it is clear that the value of function g(x) is 2 at x=0. So,
Therefore, the value for the first blank is -10 and the value for the second blank is 0.
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Answer:
The equation of the line is y = x + 1
Step-by-step explanation:
The equation of the line is y = m x + b, where
- m is the slope of the line
- b is the y-intercept
The rule of the slope of the line is m = , where
- (x1, y1) and (x2, y2) are two points on the line
∵ The line passes through points (3, 4) and (-4, -3)
∴ x1 = 3 and y1 = 4
∴ x2 = -4 and y = -3
→ Substitute them in the rule of the slope above to find it
∵ m = =
= 1
∴ m = 1
→ Substitute it in the form of the equation above
∴ y = 1(x) + b
∴ y = x + b
→ To find b substitute x by 3 and y by 4 in the equation
∵ 4 = 3 + b
→ Subtract 3 from both sides
∵ 4 - 3 = 3 - 3 + b
∴ 1 = b
→ Substitute it in the equation
∴ y = x + 1
∴ The equation of the line is y = x + 1