To find the values of the function \( f(x) = 4x + 3 \) for the specified inputs, you can simply substitute the values of \( x \) into the function. Let's calculate each one:
-
(a) \( f(5) \):
\[ f(5) = 4(5) + 3 = 20 + 3 = 23 \] -
(b) \( f(0) \):
\[ f(0) = 4(0) + 3 = 0 + 3 = 3 \] -
(c) \( f(-7) \):
\[ f(-7) = 4(-7) + 3 = -28 + 3 = -25 \] -
(d) \( f\left(\frac{1}{2}\right) \):
\[ f\left(\frac{1}{2}\right) = 4\left(\frac{1}{2}\right) + 3 = 2 + 3 = 5 \] -
(e) \( f\left(-\frac{1}{5}\right) \):
\[ f\left(-\frac{1}{5}\right) = 4\left(-\frac{1}{5}\right) + 3 = -\frac{4}{5} + 3 = -\frac{4}{5} + \frac{15}{5} = \frac{11}{5} \]
So the final answers are:
- (a) \( f(5) = 23 \)
- (b) \( f(0) = 3 \)
- (c) \( f(-7) = -25 \)
- (d) \( f\left(\frac{1}{2}\right) = 5 \)
- (e) \( f\left(-\frac{1}{5}\right) = \frac{11}{5} \)