Evaluating functions Quiz 1

Question 1

Evaluate the function, with respect to the given input values i.e., $$g\left( t \right) = 1.5{t^2} - 5t + 2$$, find the value of $$g\left( t \right)$$when $$t = \sqrt {25} $$.

Accepted Answer

$$14.5$$

Answer

$$11.5$$

Answer

$$15.1$$

Answer

$$11.15$$

Question 2

Let, $$f\left( x \right) = \log \left( {\sqrt {25 - {x^2}} } \right) + \log \sqrt {49} $$, simplify $$f\left( { - 3} \right)$$

Accepted Answer

$$1.45$$

Answer

$$1.50$$

Answer

$$1.21$$

Answer

$$1.35$$

Question 3

Solve $$f\left( x ight) = \dfrac{{{x^3} - 1}}{{x - 1}}$$ and apply the limit at $$x 	o 1$$.

Accepted Answer

$$3$$

Answer

$$2$$

Answer

$$1$$

Answer

$$5$$

Question 4

Given functions, $$f\left( x \right) = \dfrac{{3x}}{{x - 1}}$$ and $$g\left( x \right) = \dfrac{x}{{1 - 2x}}$$, from the following options, find the value of composite function$$\left( {f \circ g} \right)\left( x \right)$$ at $$x = 1$$.

Accepted Answer

$$\dfrac{3}{2}$$

Answer

$$\dfrac{7}{2}$$

Answer

$$\dfrac{5}{2}$$

Answer

$$\dfrac{1}{2}$$

Question 5

Simplify the given function at $$f\left( {a + h} \right)$$, if the function is $$f\left( x \right) = 5{x^3} + 3{x^2} - 5x + 10$$.

Accepted Answer

$$3{a^4} + 3{h^4} + 26{a^4}{h^4} + 10$$

Answer

$$3{a^5} + 3{h^4} + 26{a^4}{h^5} + 10$$

Answer

$$2{a^5} + 3{h^4} + 26{a^4}{h^5} + 10$$

Answer

$$2{a^4} + 3{h^4} + 26{a^4}{h^5} + 10$$