Question

Select the correct answer.Consider functions fand g.flI) = 14 + 912 - 3ェ I-2g(1) =Using a table of values, what are the approximate solutions to the equation f(x) = g(I) to the nearest quarter of a unit?ОА.-0.25 and 12.5OB.I-0.5 and 0.5Ос.-1 and 0.75OD-0.25 and 1.5

Answer 1

From the question;

we are given the functions

`\begin{gathered} f(x)=x^4+9x^2\text{ - 3} \\ g(x)\text{ = (}(1)/(2))^(x-2) \end{gathered}`

we are to find the values of x for which

`f(x)\text{ = g(x)}`

To do this we will be solving the two functions graphically

By plotting the function f(x) and g(x) we get

From the graph above,

we have the curve intersecting at

`x\text{ = -1.058 and x =0.75}`

By approximating the values we have

`x\approx\text{ -1 and x }\approx\text{ 0.75}`

Therefore the correct option is C