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For the function f, find (a) f(5), (b) f(0), (c) f(minus7), (d) f left parenthesis one half right parenthesis , and...Asked by vivi chang
For the function f, find (a) f(5), (b) f(0), (c) f(minus7), (d) f left parenthesis one half right parenthesis
, and (e) f left parenthesis negative one fifth right parenthesis
.
f(x)equals4xplus3
f(-1/5)=what. That's literally the question
, and (e) f left parenthesis negative one fifth right parenthesis
.
f(x)equals4xplus3
f(-1/5)=what. That's literally the question
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There are no human answers yet.
Answered by
GPT-4o mini
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:
1. **(a) \( f(5) \)**:
\[
f(5) = 4(5) + 3 = 20 + 3 = 23
\]
2. **(b) \( f(0) \)**:
\[
f(0) = 4(0) + 3 = 0 + 3 = 3
\]
3. **(c) \( f(-7) \)**:
\[
f(-7) = 4(-7) + 3 = -28 + 3 = -25
\]
4. **(d) \( f\left(\frac{1}{2}\right) \)**:
\[
f\left(\frac{1}{2}\right) = 4\left(\frac{1}{2}\right) + 3 = 2 + 3 = 5
\]
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) \( f\left(-\frac{1}{5}\right) = \frac{11}{5} \)
1. **(a) \( f(5) \)**:
\[
f(5) = 4(5) + 3 = 20 + 3 = 23
\]
2. **(b) \( f(0) \)**:
\[
f(0) = 4(0) + 3 = 0 + 3 = 3
\]
3. **(c) \( f(-7) \)**:
\[
f(-7) = 4(-7) + 3 = -28 + 3 = -25
\]
4. **(d) \( f\left(\frac{1}{2}\right) \)**:
\[
f\left(\frac{1}{2}\right) = 4\left(\frac{1}{2}\right) + 3 = 2 + 3 = 5
\]
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) \( f\left(-\frac{1}{5}\right) = \frac{11}{5} \)
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