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Solving Functions

This worksheet covers Solving Functions, which is part of the Introduction to Functions module in the SAT Math course. Practice problems are designed to strengthen key concepts and build confidence.

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Related Lessons:

Function Notation

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Solving Functions

Introduction to Functions • SAT Math

Set 5 — Mastery

If f(x) = 2x + 3, what is f(4)?

If $g(x) = x^{2} - 5x + 6$ , what are the roots of the function?

2 and 3

1 and 6

3 and 2

0 and 6

If h(x) = 3x + 1 and h(a) = 10, what is the value of a?

If $f(x) = x^{2} + 2x$ and $g(x) = x + 1$ , what is $f(g(2))$ ?

What is the inverse of the function $f(x) = 4x - 7$ ?

$f^{-1}(x) = \frac{x + 7}{4}$

$f^{-1}(x) = 4x + 7$

$f^{-1}(x) = \frac{x - 7}{4}$

$f^{-1}(x) = 4(x + 7)$

If $f(x) = 3x^{2} - 12$ , what is $f(-2)$ ?

What is the domain of the function $f(x) = \frac{1}{x - 3}$ ?

$x \neq 3$

$x > 3$

$x \geq 3$

All real numbers

If $f(x) = x^{3} - 6x^{2} + 9x$ , what is $f(0)$ ?

If f(x) = 5x + 2 and f(a) = 17, what is the value of a?

10.

If $f(x) = x^{2} + 4x + 4$ , what is the vertex of the parabola represented by $f(x)$ ?

(-2, 0)

(0, 0)

(2, 4)

(-2, -4)

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