Given that f(x)=-5x+9/2 and g(x)=1.5x^2-8

The value of g(-2) is -2, f(4) is -15.5, f(1/4) is 3.25, g(2.5) is 1.375, the value of x when f(x) = 2 is 0.5 and the value of x when g(x) = 16 is (plus minus)4.According to the question,We have the following expressions:f(x) = -5x+9/2Now, we will find the all the values of f(x) by replacing x with the given digits:f(4) = -5*4+4.5f(4) = -20+4.5f(4) = -15.5The value of f(1/4):f(1/4) = -5/4+4.5f(1/4) = -1.25+4.5f(1/4) = 1.375The value of x when f(x) = 2:-5x+4.5 = 2-5x = 2-4.5-5x = -2.5x = 2.5/5x = 0.5g(x) = 1.5[tex]x^{2}[/tex]-8Now, we will find all the values of g(x) by replacing x with the given digits.The value of g(-2):g(-2) = 1.5(-2)(-2)-8g(-2) = 6-8g(-2) = -2The value of g(2.5):g(2.5) = 1.5*2.5*2.5-8g(2.5) = 9.375-8g(2.5) = 1.375The value of x when g(x) = 16:1.5[tex]x^{2}[/tex]-8 = 161.5[tex]x^{2}[/tex] = 16+81.5[tex]x^{2}[/tex] = 24[tex]x^{2}[/tex] = 24/1.5[tex]x^{2}[/tex] = 16x = +4 and -4Hence, the value of g(-2) is -2, f(4) is -15.5, f(1/4) is 3.25, g(2.5) is 1.375, the value of x when f(x) = 2 is 0.5 and the value of x when g(x) = 16 is (plus minus)4.To know more about value herehttps://brainly.com/question/9916945#SPJ1