Pregunta
Evaluate each function for the given value. \( \begin{array}{ll}\text { 7. } f(x)=-4 x+7 ; f(1) & \text { 8. } g(x)=2 x^{2}+10 x ; g(-4)\end{array} \) \( \begin{array}{ll}\text { 9. } h(x)=10-\frac{3}{2} x ; h(-6) & \text { 10. } f(x)=|1-5 x| ; f(9)\end{array} \)
Ask by Cross Todd. in Guam
Mar 10,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
\( f(1) = 3 \), \( g(-4) = -8 \), \( h(-6) = 19 \), \( f(9) = 44 \).
Solución
\( f(x) = -4x + 7 \)
1. Substitute \( x = 1 \):
\[
f(1) = -4(1) + 7 = -4 + 7 = 3
\]
---
\( g(x) = 2x^2 + 10x \)
2. Substitute \( x = -4 \):
\[
g(-4) = 2(-4)^2 + 10(-4) = 2(16) - 40 = 32 - 40 = -8
\]
---
\( h(x) = 10 - \frac{3}{2}x \)
3. Substitute \( x = -6 \):
\[
h(-6) = 10 - \frac{3}{2}(-6) = 10 + 9 = 19
\]
---
\( f(x) = |1 - 5x| \)
4. Substitute \( x = 9 \):
\[
f(9) = |1 - 5(9)| = |1 - 45| = |-44| = 44
\]
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Simplifique esta solución Beyond the Answer
Let's evaluate each function step by step! For the first function \( f(x) = -4x + 7 \) at \( f(1) \): \[ f(1) = -4(1) + 7 = -4 + 7 = 3. \] For the second function \( g(x) = 2x^2 + 10x \) at \( g(-4) \): \[ g(-4) = 2(-4)^2 + 10(-4) = 2(16) - 40 = 32 - 40 = -8. \] Next, for \( h(x) = 10 - \frac{3}{2}x \) at \( h(-6) \): \[ h(-6) = 10 - \frac{3}{2}(-6) = 10 + 9 = 19. \] Finally, for \( f(x) = |1 - 5x| \) at \( f(9) \): \[ f(9) = |1 - 5(9)| = |1 - 45| = |-44| = 44. \] Summarizing the evaluations: - \( f(1) = 3 \) - \( g(-4) = -8 \) - \( h(-6) = 19 \) - \( f(9) = 44 \)
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