Question

The table shows values for functions f(x) and g(x)
x f(x)=0.25x g(x)=−0.75x+1
−3 64 3.25
−2 16 2.5
−1 4 1.75
0 1 1
1 0.25 0.25
2 0.0625 −0.5
3 0.015625 −1.25

What is the solution to f(x)=g(x) ?

Select each correct answer.
x=−3

x=−2

x=−1

x = 0

x = 1

x = 2

x = 3

Answer 1

The value of x if f(x) is equal to g(x) is 1

Given the following functions f(x) = 0.25x and g(x) = -0.75x +1

If f(x) is equal to g(x), hence 0.25x = -0.75x + 1

Collect the like terms

0.25x + 0.75x = 1

1x = 1

Divide both sides of the equation by 1

x = 1/1

x = 1

Hence the value of x if f(x) is equal to g(x) is 1

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