Solving Functions

Practice Questions

SAT Subject Test in Math II › Solving Functions

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1

Define functions and as follows:

$f(x) = \left{\begin{matrix} 2x+ 1 &x< 0 \ 3x & x \ge 0 \end{matrix}\right.$

$g(x) = \left{\begin{matrix} x+ 9 &x< 0 \ x- 2 & x \ge 0 \end{matrix}\right.$

Evaluate $(f \circ g) \left (-1.7\right )$ .

2

Define functions and as follows:

$f(x) = \left{\begin{matrix} 2x+ 1 &x< 0 \ 3x & x \ge 0 \end{matrix}\right.$

$g(x) = \left{\begin{matrix} x+ 9 &x< 0 \ x- 2 & x \ge 0 \end{matrix}\right.$

Evaluate $(f \circ g) \left (-1.7\right )$ .

3

Define and as follows:

$f(x) = \left{\begin{matrix} x+ 2,& x < 0 \ 4-x, & x \geq 0 \end{matrix}\right.$

$g(x) = \left{\begin{matrix} 4x ,& x < 3 \ 3x, & x \geq 3 \end{matrix}\right.$

Evaluate $(f \circ g) \left ( 3\right )$ .

4

Define and as follows:

$f(x) = \left{\begin{matrix} x+ 2,& x < 0 \ 4-x, & x \geq 0 \end{matrix}\right.$

$g(x) = \left{\begin{matrix} 4x ,& x < 3 \ 3x, & x \geq 3 \end{matrix}\right.$

Evaluate $(f \circ g) \left ( 3\right )$ .

5

If , what must be?

6

Find : $\sqrt{-3x-5} = 7$

7

If , what must be?

8

Find : $\sqrt{-3x-5} = 7$

9

Let $f(x) = 2^{x}+ 3^{2x}$ . What is the value of ?

10

Let $f(x) = 2^{x}+ 3^{2x}$ . What is the value of ?

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