Chapter 3: Q49. (page 127)

Find each value if $f (x) = 4 x + 3$ and $g (x) = 5 x - 7$ .
$49 . f (- 2)$

Short Answer

Expert verified

The value of the expression $f (- 2)$ is $- 5$ .

Step by step solution

Step-1 – Apply the concept of evaluating a function

To evaluate the function, take the original function, substitute the value in place of variable and simplify the expression.

Step-2 –Evaluate the expression.

Consider the expression $f (x) = 4 x + 3$ .

The objective is to find the value of $f (- 2)$ .

Substitute x as $- 2$ in the function $f (x) = 4 x + 3$

$f (- 2) = 4 (- 2) + 3$

Step-3 – Simplify the expression

Multiply the terms on the right hand side and compute the value.

$\begin{matrix} f (- 2) = 4 (- 2) + 3 \\ = - 8 + 3 \\ = - 5 \end{matrix}$

Hence, the value of the expression $f (x) = 4 x + 3$ when $x = - 2$ is $- 5$ .

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Find each value if $f (x) = 4 x + 3$ and $g (x) = 5 x - 7$ .
$49 . f (- 2)$

Short Answer

Step by step solution

Step-1 – Apply the concept of evaluating a function

Step-2 –Evaluate the expression.

Step-3 – Simplify the expression

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Find each value if fx=4x+3 and gx=5x-7.49.f-2

Short Answer

Step by step solution

Step-1 – Apply the concept of evaluating a function

Step-2 –Evaluate the expression.

Step-3 – Simplify the expression

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Statistics

Calculus

Decision Maths

Geometry

Logic and Functions

Study anywhere. Anytime. Across all devices.

Find each value if $f (x) = 4 x + 3$ and $g (x) = 5 x - 7$ .
$49 . f (- 2)$